9 5 triangles
•Download as PPTX, PDF•
2 likes•1,529 views
This slide show was prepared to help my fourth grade students understand and identify the different types of triangles and to help them with their homework.
Report
Share
Report
Share
Recommended
Mathematics project
Triangles can be classified based on the number of congruent sides. There are three types of triangles: scalene (no congruent sides), isosceles (at least two congruent sides), and equilateral (three congruent sides). Heron's formula provides a way to calculate the area of any triangle using the lengths of its three sides. The formula is: Area = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter (sum of sides divided by 2). The document also presents a researched formula for calculating the area of an equilateral triangle using only the length of one side.
ppt on Triangles Class 9
1. The document defines triangles and their properties including three sides, three angles, and three vertices.
2. It explains five criteria for determining if two triangles are congruent: side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and right-angle-hypotenuse-side (RHS).
3. Some properties of triangles discussed are: angles opposite equal sides are equal, sides opposite equal angles are equal, and the sum of any two sides is greater than the third side.
Math's ppt on triangles
Triangles can be classified based on side lengths as equilateral, isosceles, or scalene triangles and based on angles as acute, obtuse, or right triangles. The three main properties of triangles are the angle sum property, exterior angle property, and Pythagorean theorem. Secondary parts of a triangle include the median, altitude, perpendicular bisector, and angle bisector. Triangles can be proven congruent using the SSS, SAS, ASA, AAS, or RHS criteria. Inequalities in triangles relate longer sides to larger angles and shorter sides to smaller angles. Important centers of a triangle include the incenter, circumcenter, centroid, and orthocenter.
4 triangles
This document defines and classifies triangles based on the lengths of their sides and the measures of their interior angles. It explains that triangles can be equilateral, isosceles, or scalene based on whether their sides are all equal, two sides are equal, or all sides are unequal. Triangles can also be right, obtuse, or acute based on whether they have a 90 degree angle, an angle over 90 degrees, or all angles under 90 degrees. The document provides examples and diagrams to illustrate different types of triangles.
Triangles
This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.
Ppt on triangles cbse viith class
This presentation discusses the properties of triangles. It begins with an introduction that defines a triangle as a closed figure with three line segments and three vertices. It then classifies triangles based on their sides as equilateral, isosceles, or scalene triangles. Additional classifications are made based on angles, including right-angled, acute-angled, and obtuse-angled triangles. The presentation describes key geometric elements of triangles, such as medians that connect vertices to midpoints of opposite sides, altitudes that are perpendicular lines from vertices to opposite sides, and the property that exterior angles equal the sum of their two interior opposite angles.
Triangles
Triangles can be classified based on side lengths as equilateral, isosceles, or scalene triangles. They can also be classified based on angles as acute, obtuse, or right triangles. The three main properties of triangles are the angle sum property, exterior angle property, and Pythagorean theorem. Congruent triangles can be proven using the SSS, SAS, ASA, AAS, or RHS criteria which compare corresponding sides and angles. Important parts of a triangle include the median, altitude, angle bisector, and perpendicular bisector. The triangle inequality states that the sum of any two sides must be greater than the third side. Important points related to triangles are the incenter, circumcenter,
TRIANGLES
Triangles are geometric shapes with three sides and three angles. They can be categorized based on their angles as right, obtuse, or acute triangles and based on their sides as equilateral, isosceles, or scalene triangles. Key properties of triangles include the angle sum property that the interior angles sum to 180 degrees, Pythagorean theorem relating the sides of a right triangle, and congruence rules to determine if two triangles are identical in shape and size. Triangles are fundamental building blocks that are important across many fields including engineering, trigonometry, and studying distant objects.
Recommended
Mathematics project
Triangles can be classified based on the number of congruent sides. There are three types of triangles: scalene (no congruent sides), isosceles (at least two congruent sides), and equilateral (three congruent sides). Heron's formula provides a way to calculate the area of any triangle using the lengths of its three sides. The formula is: Area = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter (sum of sides divided by 2). The document also presents a researched formula for calculating the area of an equilateral triangle using only the length of one side.
ppt on Triangles Class 9
1. The document defines triangles and their properties including three sides, three angles, and three vertices.
2. It explains five criteria for determining if two triangles are congruent: side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and right-angle-hypotenuse-side (RHS).
3. Some properties of triangles discussed are: angles opposite equal sides are equal, sides opposite equal angles are equal, and the sum of any two sides is greater than the third side.
Math's ppt on triangles
Triangles can be classified based on side lengths as equilateral, isosceles, or scalene triangles and based on angles as acute, obtuse, or right triangles. The three main properties of triangles are the angle sum property, exterior angle property, and Pythagorean theorem. Secondary parts of a triangle include the median, altitude, perpendicular bisector, and angle bisector. Triangles can be proven congruent using the SSS, SAS, ASA, AAS, or RHS criteria. Inequalities in triangles relate longer sides to larger angles and shorter sides to smaller angles. Important centers of a triangle include the incenter, circumcenter, centroid, and orthocenter.
4 triangles
This document defines and classifies triangles based on the lengths of their sides and the measures of their interior angles. It explains that triangles can be equilateral, isosceles, or scalene based on whether their sides are all equal, two sides are equal, or all sides are unequal. Triangles can also be right, obtuse, or acute based on whether they have a 90 degree angle, an angle over 90 degrees, or all angles under 90 degrees. The document provides examples and diagrams to illustrate different types of triangles.
Triangles
This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.
Ppt on triangles cbse viith class
This presentation discusses the properties of triangles. It begins with an introduction that defines a triangle as a closed figure with three line segments and three vertices. It then classifies triangles based on their sides as equilateral, isosceles, or scalene triangles. Additional classifications are made based on angles, including right-angled, acute-angled, and obtuse-angled triangles. The presentation describes key geometric elements of triangles, such as medians that connect vertices to midpoints of opposite sides, altitudes that are perpendicular lines from vertices to opposite sides, and the property that exterior angles equal the sum of their two interior opposite angles.
Triangles
Triangles can be classified based on side lengths as equilateral, isosceles, or scalene triangles. They can also be classified based on angles as acute, obtuse, or right triangles. The three main properties of triangles are the angle sum property, exterior angle property, and Pythagorean theorem. Congruent triangles can be proven using the SSS, SAS, ASA, AAS, or RHS criteria which compare corresponding sides and angles. Important parts of a triangle include the median, altitude, angle bisector, and perpendicular bisector. The triangle inequality states that the sum of any two sides must be greater than the third side. Important points related to triangles are the incenter, circumcenter,
TRIANGLES
Triangles are geometric shapes with three sides and three angles. They can be categorized based on their angles as right, obtuse, or acute triangles and based on their sides as equilateral, isosceles, or scalene triangles. Key properties of triangles include the angle sum property that the interior angles sum to 180 degrees, Pythagorean theorem relating the sides of a right triangle, and congruence rules to determine if two triangles are identical in shape and size. Triangles are fundamental building blocks that are important across many fields including engineering, trigonometry, and studying distant objects.
Triangle
This document provides information about different types of triangles categorized by side lengths, angle measures, and combinations of sides and angles. It defines equilateral, isosceles, scalene, right, acute, and obtuse triangles. Examples are given to illustrate each type. Formulas for calculating the perimeter and area of triangles are presented. Exercises are included for the student to practice determining perimeters, areas, and drawing different triangle types.
Triangles
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
Triangles and Types of triangles&Congruent Triangles (Congruency Rule)
This document defines and describes different types of triangles:
- Equilateral triangles have three equal sides and three equal angles.
- Isosceles triangles have at least two equal sides.
- Scalene triangles have no equal sides.
- Right triangles have one 90 degree angle.
- Acute triangles have all angles less than 90 degrees.
- Obtuse triangles have one angle greater than 90 degrees.
It also describes three theorems used to prove triangle congruence: SSS (three equal sides), SAS (two equal sides and the included angle), and ASA (two equal angles and one included side).
Triangles
This document is a presentation about triangles created by Manish Raj Anand, a 10th grade student at The Doon Global School. It contains information about different types of triangles, including equilateral, isosceles, and scalene triangles. It discusses triangle properties such as angles, sides, perpendicular bisectors, medians, altitudes, the circumcenter, and the triangle inequality. The presentation was created using information found online and pictures collected from the internet.
Triangles
This document discusses various theorems and properties related to triangles. It explains the Basic Proportionality Theorem, also known as Thales' Theorem, which states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. It also covers similarity criteria like AAA, SSA, and SSS. The Area Theorem demonstrates that the ratio of areas of similar triangles equals the square of the ratio of corresponding sides. Additionally, it proves Pythagoras' Theorem, which relates the sides of a right triangle, and its converse. In summary, the document outlines key triangle theorems regarding proportional division, similarity, areas, and the Pythagorean relationship between sides.
Triangles
This document defines and describes different types of triangles based on side lengths and angle measures. It also discusses properties of triangles related to similarity, including the AAA, SSS, SAS, and RHS similarity criteria. Properties of special right triangles and the Pythagorean theorem are also covered. Types of triangles described include scalene, isosceles, equilateral, acute, obtuse, and right triangles.
Congruence of triangle
The document discusses different types of triangles and rules for determining if triangles are congruent. It defines congruent figures as those that are equal in size and shape and can cover each other completely. It then provides four rules for triangle congruence: SAS, ASA, SSS, and RHS. These rules state that triangles are congruent if their corresponding sides and/or angles are equal.
Triangle ppt
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
Triangles
1) A triangle is a three-sided polygon with three vertices and three edges.
2) Triangles can be classified based on side lengths (equilateral, isosceles, scalene) or interior angles (right, acute, obtuse).
3) The interior angles of any triangle always sum to 180 degrees. Congruent triangles have the same shape and size, while similar triangles have the same angle measures but sides proportional in length.
Triangle &types by sides
The power point explains the concept of triangles and its types.It also helps us to understand the types of triangle by its sides.
Triangle classification ok1296542905
This document discusses two ways to classify triangles: by their sides and by their angles. Triangles can be classified by their sides as scalene, with no equal sides, or isosceles, with at least two equal sides. They can also be classified by their angles as acute, with all angles less than 90 degrees; right, with one 90 degree angle; or obtuse, with one angle greater than 90 degrees. Examples are given to classify triangles under each system.
Triangles
This document provides information about triangles, including their basic properties, types, dimensions, and formulas for calculating perimeter and area. It defines triangles as three-sided, two-dimensional shapes where the sum of the interior angles is 180 degrees. Triangles are classified based on side lengths as equilateral, isosceles, or scalene, and based on angle measures as right, obtuse, or acute. The dimensions needed to calculate a triangle's perimeter and area are its three side lengths, base, and height. Formulas provided are that perimeter equals the sum of the three sides and area equals one-half the base times the height. Examples are given to demonstrate calculating perimeter and area of triangles.
Triangles and it's properties
this is a power point presentation related to the topic triangle and it's properties on the subject math
'like and support'
joshua benny hinn ppt 1 triangles for class x
This document defines and describes different types of triangles. It discusses the key properties of triangles including that the sum of the interior angles is always 180 degrees. It also defines the six main types of triangles: equilateral, isosceles, right, scalene, acute, and obtuse. Additionally, it presents the basic proportionality theorem and its converse, which relate parallel lines drawn to the sides of a triangle.
Angles and sides of a triangle
The document discusses the relationships between angles and sides in triangles. The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangles can be classified as right, acute, or obtuse based on comparing the sum of the squares of two sides to the square of the third side - right if equal, acute if greater than, and obtuse if less than. Examples are given to demonstrate classifying triangles as acute or obtuse.
Classifying Triangles
The document defines and provides examples of different types of triangles based on their interior angles and side lengths. It explains that triangles can be classified as right, obtuse, or acute based on their interior angles, and as equilateral, isosceles, or scalene based on their side lengths. Examples are given of right scalene triangles, obtuse isosceles triangles, and acute scalene triangles to demonstrate how triangles can be classified based on both their angles and side lengths.
Classification of triangle
This document provides an overview of triangles, including their basic definition, examples of triangles in everyday objects, different types of angles, and ways to classify triangles based on their angles and side lengths. It defines acute, right, and obtuse angles. It also explains how to determine if line segments are congruent based on their lengths. Finally, it classifies triangles as acute, right, obtuse, scalene, isosceles, or equilateral depending on their angle measures or relationships between side lengths.
Triangles
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Triangle: An Interactive Presentation
It is an interactive powerpoint presentation developed as an example for elementary school teachers. It shows how an interactive powerpoint presentation can be a great formative assessment tool for young children.
Triginometry
The document discusses trigonometry and trigonometric ratios. It defines trigonometry as the study of triangles and trigonometric ratios as ratios of sides of a right triangle. The three basic trigonometric ratios are sine, cosine, and tangent, which are the ratios of the opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides, respectively. Examples are given to demonstrate calculating trigonometric ratios using the properties of right triangles. Common mistakes made by students are also discussed.
Quadrilateral
This document discusses different types of quadrilaterals: trapezium, parallelogram, rhombus, rectangle, square, and kite. It provides the key properties of each shape, including that a trapezium has one pair of parallel sides, a parallelogram has opposite sides that are equal and parallel, and a rhombus has all four sides of equal length. It also defines geometric attributes like diagonals, angles, areas, and perimeters.
More Related Content
What's hot
Triangle
This document provides information about different types of triangles categorized by side lengths, angle measures, and combinations of sides and angles. It defines equilateral, isosceles, scalene, right, acute, and obtuse triangles. Examples are given to illustrate each type. Formulas for calculating the perimeter and area of triangles are presented. Exercises are included for the student to practice determining perimeters, areas, and drawing different triangle types.
Triangles
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
Triangles and Types of triangles&Congruent Triangles (Congruency Rule)
This document defines and describes different types of triangles:
- Equilateral triangles have three equal sides and three equal angles.
- Isosceles triangles have at least two equal sides.
- Scalene triangles have no equal sides.
- Right triangles have one 90 degree angle.
- Acute triangles have all angles less than 90 degrees.
- Obtuse triangles have one angle greater than 90 degrees.
It also describes three theorems used to prove triangle congruence: SSS (three equal sides), SAS (two equal sides and the included angle), and ASA (two equal angles and one included side).
Triangles
This document is a presentation about triangles created by Manish Raj Anand, a 10th grade student at The Doon Global School. It contains information about different types of triangles, including equilateral, isosceles, and scalene triangles. It discusses triangle properties such as angles, sides, perpendicular bisectors, medians, altitudes, the circumcenter, and the triangle inequality. The presentation was created using information found online and pictures collected from the internet.
Triangles
This document discusses various theorems and properties related to triangles. It explains the Basic Proportionality Theorem, also known as Thales' Theorem, which states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. It also covers similarity criteria like AAA, SSA, and SSS. The Area Theorem demonstrates that the ratio of areas of similar triangles equals the square of the ratio of corresponding sides. Additionally, it proves Pythagoras' Theorem, which relates the sides of a right triangle, and its converse. In summary, the document outlines key triangle theorems regarding proportional division, similarity, areas, and the Pythagorean relationship between sides.
Triangles
This document defines and describes different types of triangles based on side lengths and angle measures. It also discusses properties of triangles related to similarity, including the AAA, SSS, SAS, and RHS similarity criteria. Properties of special right triangles and the Pythagorean theorem are also covered. Types of triangles described include scalene, isosceles, equilateral, acute, obtuse, and right triangles.
Congruence of triangle
The document discusses different types of triangles and rules for determining if triangles are congruent. It defines congruent figures as those that are equal in size and shape and can cover each other completely. It then provides four rules for triangle congruence: SAS, ASA, SSS, and RHS. These rules state that triangles are congruent if their corresponding sides and/or angles are equal.
Triangle ppt
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
Triangles
1) A triangle is a three-sided polygon with three vertices and three edges.
2) Triangles can be classified based on side lengths (equilateral, isosceles, scalene) or interior angles (right, acute, obtuse).
3) The interior angles of any triangle always sum to 180 degrees. Congruent triangles have the same shape and size, while similar triangles have the same angle measures but sides proportional in length.
Triangle &types by sides
The power point explains the concept of triangles and its types.It also helps us to understand the types of triangle by its sides.
Triangle classification ok1296542905
This document discusses two ways to classify triangles: by their sides and by their angles. Triangles can be classified by their sides as scalene, with no equal sides, or isosceles, with at least two equal sides. They can also be classified by their angles as acute, with all angles less than 90 degrees; right, with one 90 degree angle; or obtuse, with one angle greater than 90 degrees. Examples are given to classify triangles under each system.
Triangles
This document provides information about triangles, including their basic properties, types, dimensions, and formulas for calculating perimeter and area. It defines triangles as three-sided, two-dimensional shapes where the sum of the interior angles is 180 degrees. Triangles are classified based on side lengths as equilateral, isosceles, or scalene, and based on angle measures as right, obtuse, or acute. The dimensions needed to calculate a triangle's perimeter and area are its three side lengths, base, and height. Formulas provided are that perimeter equals the sum of the three sides and area equals one-half the base times the height. Examples are given to demonstrate calculating perimeter and area of triangles.
Triangles and it's properties
this is a power point presentation related to the topic triangle and it's properties on the subject math
'like and support'
joshua benny hinn ppt 1 triangles for class x
This document defines and describes different types of triangles. It discusses the key properties of triangles including that the sum of the interior angles is always 180 degrees. It also defines the six main types of triangles: equilateral, isosceles, right, scalene, acute, and obtuse. Additionally, it presents the basic proportionality theorem and its converse, which relate parallel lines drawn to the sides of a triangle.
Angles and sides of a triangle
The document discusses the relationships between angles and sides in triangles. The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangles can be classified as right, acute, or obtuse based on comparing the sum of the squares of two sides to the square of the third side - right if equal, acute if greater than, and obtuse if less than. Examples are given to demonstrate classifying triangles as acute or obtuse.
Classifying Triangles
The document defines and provides examples of different types of triangles based on their interior angles and side lengths. It explains that triangles can be classified as right, obtuse, or acute based on their interior angles, and as equilateral, isosceles, or scalene based on their side lengths. Examples are given of right scalene triangles, obtuse isosceles triangles, and acute scalene triangles to demonstrate how triangles can be classified based on both their angles and side lengths.
Classification of triangle
This document provides an overview of triangles, including their basic definition, examples of triangles in everyday objects, different types of angles, and ways to classify triangles based on their angles and side lengths. It defines acute, right, and obtuse angles. It also explains how to determine if line segments are congruent based on their lengths. Finally, it classifies triangles as acute, right, obtuse, scalene, isosceles, or equilateral depending on their angle measures or relationships between side lengths.
Triangles
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Triangle: An Interactive Presentation
It is an interactive powerpoint presentation developed as an example for elementary school teachers. It shows how an interactive powerpoint presentation can be a great formative assessment tool for young children.
What's hot (20)
Triangles and Types of triangles&Congruent Triangles (Congruency Rule)
Triangles and Types of triangles&Congruent Triangles (Congruency Rule)
Viewers also liked
Triginometry
The document discusses trigonometry and trigonometric ratios. It defines trigonometry as the study of triangles and trigonometric ratios as ratios of sides of a right triangle. The three basic trigonometric ratios are sine, cosine, and tangent, which are the ratios of the opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides, respectively. Examples are given to demonstrate calculating trigonometric ratios using the properties of right triangles. Common mistakes made by students are also discussed.
Quadrilateral
This document discusses different types of quadrilaterals: trapezium, parallelogram, rhombus, rectangle, square, and kite. It provides the key properties of each shape, including that a trapezium has one pair of parallel sides, a parallelogram has opposite sides that are equal and parallel, and a rhombus has all four sides of equal length. It also defines geometric attributes like diagonals, angles, areas, and perimeters.
Daily test sets feb 2012.docx ( edit )
The document is a daily mathematics test for 7th grade students consisting of 20 multiple choice questions and 10 short answer questions related to sets. It tests concepts such as subsets, unions, intersections, complements and Venn diagrams. The test has a time limit of 80 minutes.
Prove pythagorean theorem
The document provides instructions to prove the Pythagorean theorem using origami. It instructs the reader to cut origami paper into rectangles and then into right triangles. It then tells them to arrange 4 right triangles into a larger right triangle to demonstrate that the hypotenuse of the larger triangle is equal to the sum of the squares of the other two sides.
Angles and triangles
This document defines and describes different types of angles and triangles. It discusses acute, right, and obtuse angles. It also defines equilateral, isosceles, right, and scalene triangles. The document notes that the interior angles of a triangle always sum to 180 degrees and that angles are measured using a protractor.
Ratio line segment on parallel lines
The document discusses proportional line segments formed when a line parallel to one side of a triangle intersects the other two sides. It states that if a line parallel to one side of a triangle intersects the other two sides, it divides those sides proportionally. An example problem demonstrates finding the value of x given lengths of line segments intercepted by parallel lines intersecting two transversals. The document concludes by thanking the reader and providing attribution for the material.
Linear Equation with One Variable (LEOV)
1) The document discusses linear equations with one variable (LEOV). It defines key terms like statements, open and closed sentences, equations, and the components of a linear equation with one variable.
2) Examples are provided to illustrate open sentences that can be made into closed sentences or equations by replacing variables with values. Exercises ask the reader to write open sentences as equations and solve simple equations.
3) The final section directs the reader to solve two sample linear equations with one variable, tying together the concepts discussed in the document.
4.1 triangles and angles
Triangles have three line segments that join three non-collinear points called vertices. Triangles are classified by their sides and angles. The Triangle Sum Theorem states that the sum of the interior angles of any triangle is 180 degrees. This is proved using parallel lines and angle addition. A corollary is that the acute angles of a right triangle are complementary to 90 degrees. The Exterior Angles Theorem states that an exterior angle is equal to the sum of the two non-adjacent interior angles. Examples show using these theorems to find missing angle measures.
5 parts circle diagram ppt slides presentation diagrams templates
The document describes a 5 parts circle diagram template that can be downloaded and edited in PowerPoint. It contains instructions on how to ungroup objects in the template to individually edit colors, sizes, and orientations. The template is meant to bring presentations to life and capture audiences' attention with editable images.
Ratio & proportion
The document discusses ratios, proportions, and scale drawings. It begins by defining a ratio as a comparison of two or more quantities without units. Ratios can be written in different forms such as a:b or a to b. A proportion is an equation stating that one ratio is equal to another. Direct proportion means that as one quantity increases, the other also increases by the same factor. Inverse proportion means that as one quantity increases, the other decreases. Scale drawings use a scale ratio to show the relationship between an object's depicted size and its actual size. Examples are provided to demonstrate calculating ratios, proportions, direct and inverse proportions, and using scale ratios.
Lines, angles , triangles and their properties
It is PPT dedicated to student who want to understand and lear more about LINES, ANGLES, TRIANGLES, PROPERTIES OF PARALLEL LINES etc...
Triangles and their properties
This document discusses properties of triangles, including classifications based on sides (equilateral, isosceles, scalene) and angles (acute). It outlines key properties such as: the sum of interior angles is 180 degrees; the exterior angle is equal to the sum of the two non-adjacent interior angles; and the triangle inequality stating the sum of any two sides must be greater than the third side. Congruence of triangles is also discussed, noting triangles are congruent when corresponding sides and angles are equal, and can be proven using ASA, SAS, or SSS criteria.
Circle
The document defines and explains key terms related to circles:
1. A circle is a closed curve in which all points are equidistant from the center. It has properties like radius, diameter, circumference, chords, arcs, and segments.
2. Key terms are defined, like radius as the line from the center to the edge, diameter as a chord passing through the center, and circumference as the distance around the circle.
3. Examples are given of circles in daily life, music, and sports to illustrate the concept. Diagrams accompany the definitions of terms like chord, arc, semicircle, and segments.
Circles
A circle is a closed curve where all points are equidistant from a fixed central point called the vertex. Key parts of a circle include the radius, which connects the center to any point on the circle, the diameter which passes through the center, and the chord which connects any two points on the circle. Other terms are the secant which intersects the circle at two points, the tangent which touches the circle at one point, and arcs which are portions of the circle.
Triangle and its properties
This document discusses several key properties of triangles. It states that the sum of the interior angles in any triangle is always 180 degrees, known as the angle sum property. It also notes that an exterior angle is equal to the sum of the opposite interior angles. Additionally, the document explains that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, known as the Pythagorean theorem.
Circles
This document defines and explains key terms and concepts related to circles in geometry. It discusses what a circle is, the history of circles, and important circle terminology like diameter, radius, chord, arc, sector, and segment. It also covers theorems about relationships between chords, tangents, secants, and angles in circles. Key ideas are that a circle is a set of points equidistant from the center, and that circles have been an important mathematical concept throughout history.
Triangles of the neck ppt year 1
The document describes the triangles of the neck. It discusses the anterior and posterior triangles, which are divided by the sternocleidomastoid muscle. The posterior triangle contains nerves like the spinal accessory nerve and brachial plexus. It is further divided by the omohyoid muscle into the supraclavicular and occipital triangles. The anterior triangle contains the carotid vessels and is divided into the submental, submandibular, carotid, and muscular triangles. Both triangles contain important muscles and nerves.
Cbse 10th circles
The document summarizes key definitions and properties related to circles and tangents to circles:
- It defines circles, radii, diameters, chords, secants, and tangents. It also defines tangent circles and common tangents.
- It states theorems about tangents, including that a tangent line is perpendicular to the radius at the point of tangency, and a line perpendicular to the radius at a point on the circle is a tangent.
- It provides examples demonstrating identifying special segments and lines related to circles, identifying common tangents, and using properties of tangents to solve problems.
Angles and triangles
It shows the different methods to calculate angles and sides in the different type of triangle. Its one of the basics for understanding doing surveying.
Circle and its parts
This document defines and describes various parts of a circle including the radius, diameter, chord, arc, secant, and tangent. It explains that a circle is a closed curve where all points are equidistant from the center. A radius is a line from the center to the edge, a diameter connects two points on the edge passing through the center, and a chord connects any two edge points. An arc is part of the edge between two points, and a semicircle is half of a full circle. Secants and tangents are lines that intersect the circle at one or more points.
Viewers also liked (20)
5 parts circle diagram ppt slides presentation diagrams templates
5 parts circle diagram ppt slides presentation diagrams templates
Similar to 9 5 triangles
Welcome To Geometry
This document introduces key concepts in geometry, including points, lines, planes, angles, polygons, triangles, quadrilaterals, and different types of geometric shapes. It defines important vocabulary like parallel lines, intersecting lines, perpendicular lines, acute angles, right angles, and obtuse angles. It also explains how to classify triangles based on angle types (right, acute, obtuse) and side lengths (scalene, isosceles, equilateral). Similarly, it describes how to classify quadrilaterals such as parallelograms, rectangles, rhombi, squares, and trapezoids based on their properties.
Triangles
There are two main ways to classify triangles: by the lengths of their sides and by the measure of their angles. For side classification, an equilateral triangle has all three sides the same length, an isosceles triangle has two sides of equal length, and a scalene triangle has all sides of different lengths. For angle classification, an acute triangle has all angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one 90 degree angle. Triangles can be proven congruent through various postulates and theorems including SSS, SAS, ASA, AAS, and RHS which relate congruent sides and angles.
Triangles
Triangles can be classified in several ways. They have three sides and three angles. Triangles are classified based on the length of sides into equilateral, isosceles, and scalene triangles. They are also classified based on angle magnitude into acute, right, and obtuse triangles. The interior is the region within the triangle boundary, while the exterior is outside the boundary. An equiangular triangle has three equal angles and is also equilateral.
8.2 classifying triangles 1
The document provides information about classifying triangles based on their angles and sides. It defines different types of triangles such as acute, right, obtuse, equilateral, isosceles, and scalene triangles. It explains that all triangles have a sum of 180 degrees for their interior angles and can be used to find a missing third angle if two angles are given. Examples are provided to demonstrate classifying triangles and determining if a set of angle measures could define a triangle.
4.1 apply triangle sum properties
Triangle sum properties, acute, obtuse, right, equiangular, scalene, interior angle, exterior angles, triangle congruence,
triangles
This document defines and classifies different types of triangles based on their sides and angles. It begins by defining what a triangle is and listing some key properties, such as all triangles having three vertices, altitudes, medians, and angle bisectors. The document then classifies triangles as either acute, obtuse, right, equiangular, scalene, isosceles, or equilateral depending on the measurements of their sides and angles. Real-world examples of triangles are also provided. The document concludes with evaluation questions to test the reader's understanding of triangle properties and classifications.
triangles and angles (on the basis of sides and angles)
did you aware of triangles and its types and angles and it types
let me show by this powerpoint presentation
6.2 Classifying Triangles
The document discusses classifying triangles by their angles and sides. Triangles can be classified as equilateral, isosceles, or scalene based on their side lengths. They can also be classified as acute, right, obtuse, or equiangular based on their angle measures. The Pythagorean theorem and inequalities are used to determine if a triangle is right, obtuse, or acute based on the lengths of its sides. Examples are provided to demonstrate classifying triangles by their properties.
Angles
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
Classifying Angles
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
Geom 4point1
This document provides definitions and properties related to triangles:
- It defines different types of triangles based on sides (equilateral, isosceles, scalene) and angles (acute, right, obtuse).
- It identifies key parts of triangles like vertices, adjacent/opposite sides, hypotenuse, legs, and base.
- It describes interior and exterior angles and states the Triangle Sum Theorem that the interior angles sum to 180 degrees.
- The Exterior Angle Theorem and corollary relating right triangles are also presented.
King of Triangles
This document discusses different types of triangles categorized by side lengths, angle measures, and both side lengths and angle measures. There are three main types of triangles based on side lengths: equilateral triangles which have three equal sides; isosceles triangles which have two equal sides; and scalene triangles which have all unequal sides. There are also three types based on angle measures: acute triangles which have all angles less than 90 degrees; obtuse triangles which have one angle greater than 90 degrees; and right triangles which have one 90 degree angle. The document further discusses specific triangle types that are defined by both side lengths and angle measures, such as isosceles right triangles.
Angles by Asier Echarri
An angle is formed by two lines meeting at a point called the vertex. The two lines are called arms and the angle is the amount of space between them. There are several types of angles including acute (less than 90 degrees), right (90 degrees), obtuse (greater than 90 but less than 180 degrees), straight (180 degrees), and reflex (greater than 180 degrees). A protractor can be used to measure angles, and right angles are often indicated with a box in the corner. Reflex angles are measured and then 360 is subtracted from the measurement.
triangle
This document discusses triangles and their properties. It defines a triangle as a three-sided polygon with three angles and vertices. It describes the three main types of triangles based on side lengths (equilateral, isosceles, scalene) and angles (acute, right, obtuse). Heron's formula for calculating the area of a triangle given the side lengths is presented. Key properties of triangles like the angle sum property, exterior angle property, and congruency criteria (SSS, SAS, ASA) are outlined. Important triangle centers such as the incenter, circumcenter, centroid, and orthocenter are defined.
Proeprties of lines and triangles
This document summarizes properties of lines, angles, parallel lines, and triangles. It defines types of angles such as acute, right, obtuse, straight, and reflex angles. It explains that parallel lines have corresponding angles that are equal and describes properties such as alternate interior angles. The document also defines what qualifies a triangle as equilateral, isosceles, or scalene based on side lengths. It categorizes triangles as acute, right, or obtuse based on angle measures. Key triangle properties are that a triangle cannot have more than one right angle or obtuse angle, and the sum of two acute angles in a right triangle is 90 degrees.
Chapter 9 plane figures
- A triangle is a three-sided polygon with three angles that sum to 180 degrees. Triangles can be classified based on side length (scalene, isosceles, equilateral) or angle type (acute, right, obtuse).
- The triangle inequality theorem states that any side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides.
- A quadrilateral is a four-sided polygon. Quadrilaterals can be simple or complex, and simple ones can be convex or concave. The interior angles of any simple quadrilateral sum to 360 degrees.
- A circle is the set of all points in a plane equid
MATH 4 PPT Q3 W3-W4 - Lesson 51 - Polygons.pptx
This document provides instructions for a lesson on classifying triangles based on their angles and sides. The lesson involves students drawing and classifying different types of triangles, answering questions to test their understanding of triangle types, and drawing triangles with specified measurements. The lesson helps students learn that triangles can be classified as right, acute, or obtuse based on their angles, and as equilateral, isosceles, or scalene based on their sides.
MATH 4 PPT Q3 W3-W4 - Lesson 51 - Polygons.pptx
This document provides instructions for a quiz bee activity where students will classify and draw different types of triangles based on their angles and sides. It discusses right, acute, and obtuse triangles classified by angles and equilateral, isosceles, and scalene triangles classified by sides. Students will answer questions to identify triangle types, draw examples of each, and describe triangular objects. The activity reinforces classifying and representing different triangles.
Triangle and its properties
There are seven types of triangles: isosceles, equilateral, scalene, right, obtuse, and acute. An isosceles triangle has two equal sides, an equilateral triangle has three equal sides, and a scalene triangle has no equal sides. A right triangle contains one 90 degree angle, an obtuse triangle has one angle over 90 degrees, and an acute triangle has all angles under 90 degrees. Triangles are named by labeling each vertex with a capital letter and sides are labeled with the lowercase letters of the opposite vertices.
Triangles
This document discusses the key properties and types of triangles. It defines what a triangle is, noting that it has 3 sides, 3 angles, and 3 vertices. It then describes the different shapes of triangles including scalene, equilateral, and isosceles triangles. The document also outlines the different types of triangles based on angle measures, including acute, right, and obtuse triangles. Finally, it provides formulas for calculating the area of a triangle.
Similar to 9 5 triangles (20)
triangles and angles (on the basis of sides and angles)
triangles and angles (on the basis of sides and angles)
Recently uploaded
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
How to Make a Field Mandatory in Odoo 17
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcWhat is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Recently uploaded (20)
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
9 5 triangles
- 1. TOPIC 9 LESSON 9-5 Triangles
- 2. Triangles can be classified by their sides. 3 equal sides equilateral triangle
- 3. Triangles can be classified by their sides. 2 equal sides isosceles triangle
- 4. Triangles can be classified by their sides. 0 equal sides scalene triangle
- 5. Triangles can also be classified by their angles. 1 right angle right triangle One angle measures 90 degrees. The other 2 are acute or less than 90 degrees.
- 6. Triangles can also be classified by their angles. 3 acute angles acute triangle All angles measure less than 90 degrees.
- 7. Triangles can also be classified by their angles. 1 obtuse angle obtuse triangle One angle measures greater than 90 degrees.
- 8. Classify this triangle by its sides and angles.
- 9. Did you say. . . equilateral, acute? 3 equal sides, 3 acute angles
- 10. Classify this triangle by its sides and angles.
- 11. Did you say . . . isosceles, right? 2 equal sides, one right angle
- 12. Classify this triangle by its sides and angles.
- 13. Did you say . . . scalene, obtuse? 0 equal sides, 1 obtuse angle
- 14. Can you classify this triangle by its sides and angles?
- 15. Did you say . . . scalene, right? 0 equal sides,1 right angle
- 16. Classify this triangle by its sides and angles.
- 17. Did you say. . . isosceles, acute 2 equal sides, 3 acute angles
- 18. Now you know how to identify triangles.