Similar Figures
•Download as PPS, PDF•
1 like•1,114 views
The document discusses using proportions to find missing sides of similar figures. It provides an example of using a proportion to find the measure of side FG in two similar triangles where one side is 12/5 and the other is 24 mm. It also discusses properties of similar figures, including corresponding angles being congruent and corresponding sides being proportional. Finally, it provides an example of a rectangle ABCD being enlarged by a scale factor of 3/4 to create a similar rectangle EFGH and asks how the ratio of the areas compares to the ratio of corresponding sides.
Report
Share
Report
Share
![Aim: How do we use proportions to find missing sides of similar figures? ,[object Object],12/5 A B C E F G 24 mm 16 mm 25 mm](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Recommended
Plans and elevations
The document defines key terms related to three-dimensional shapes like faces, edges, vertices, nets, plans and elevations. It provides examples of a plan view and front elevation of a house and prism. Students are then asked to draw a side elevation of a prism given its plan and front elevation, as well as draw the plans, front and side elevations of additional 3D shapes made of cubes.
MENSURATION
PPT CONSISTS OF
TOTAL SURFACE AREA
,LATERAL SURFACE AREA
,VOLUME
EXAMPLES
CONES , CYLINDER,CIRCLE ,RECTANGLE,SQUARE
Mensuration
The document provides formulas for calculating the perimeter and area of basic shapes like squares, rectangles, triangles, parallelograms, and circles. It defines each shape and gives the formula for finding their perimeter and area in terms of common properties like sides, width, length, base, height, radius, and diameter. For example, the perimeter of a square is defined as 4 times the length of one side, and the area of a square is the length of one side squared.
Congruence of triangles
A triangle is a three-sided shape. There are different types of triangles classified by their angles and sides, including scalene, isosceles, equilateral, acute, right, and obtuse triangles. Two figures are congruent if they have the same shape and size, with congruence symbolized by a tilde. Line segments and angles are congruent if their lengths or measures are equal, and triangles are congruent if one can be placed directly on top of the other to overlap completely.
CLASS IX MATHS 6 areas of parallelogram and triangles
The document discusses relationships between the areas of plane figures such as parallelograms, triangles, and rectangles that share the same base or lie between the same parallels. It defines what it means for figures to be on the same base and between the same parallels. The key points are that parallelograms on the same base and between the same parallels have equal areas, and triangles on the same base and between the same parallels also have equal areas. Formulas for calculating the areas of parallelograms and triangles are reviewed.
Plans&elevations
This lesson teaches how to visualize and draw 2D representations of 3D objects through plans and elevations. It explains that a plan is a view from above and an elevation is a view from the side. It provides examples of different 3D shapes and guides the student in sketching the plan, side elevation, and front elevation of each shape. The goal is to help students analyze 3D shapes through their 2D projections.
Project report on maths
This document defines and explains properties of various quadrilaterals and triangles. It defines parallelograms, rectangles, rhombi, and trapezoids, listing their key properties such as opposite sides being parallel and congruent, opposite angles being congruent, diagonals bisecting each other, etc. It also defines scalene, isosceles, equilateral, acute, obtuse, and congruent triangles. Area formulas are provided for various shapes using base and height.
Corresponding parts of congruent figures.
This document section discusses identifying and naming congruent figures. It defines congruent figures as two figures that have the same size and shape. Congruent polygons have matching sides and angles. Corresponding parts of congruent figures are equal. Examples demonstrate writing congruence statements and identifying corresponding congruent parts of triangles.
Recommended
Plans and elevations
The document defines key terms related to three-dimensional shapes like faces, edges, vertices, nets, plans and elevations. It provides examples of a plan view and front elevation of a house and prism. Students are then asked to draw a side elevation of a prism given its plan and front elevation, as well as draw the plans, front and side elevations of additional 3D shapes made of cubes.
MENSURATION
PPT CONSISTS OF
TOTAL SURFACE AREA
,LATERAL SURFACE AREA
,VOLUME
EXAMPLES
CONES , CYLINDER,CIRCLE ,RECTANGLE,SQUARE
Mensuration
The document provides formulas for calculating the perimeter and area of basic shapes like squares, rectangles, triangles, parallelograms, and circles. It defines each shape and gives the formula for finding their perimeter and area in terms of common properties like sides, width, length, base, height, radius, and diameter. For example, the perimeter of a square is defined as 4 times the length of one side, and the area of a square is the length of one side squared.
Congruence of triangles
A triangle is a three-sided shape. There are different types of triangles classified by their angles and sides, including scalene, isosceles, equilateral, acute, right, and obtuse triangles. Two figures are congruent if they have the same shape and size, with congruence symbolized by a tilde. Line segments and angles are congruent if their lengths or measures are equal, and triangles are congruent if one can be placed directly on top of the other to overlap completely.
CLASS IX MATHS 6 areas of parallelogram and triangles
The document discusses relationships between the areas of plane figures such as parallelograms, triangles, and rectangles that share the same base or lie between the same parallels. It defines what it means for figures to be on the same base and between the same parallels. The key points are that parallelograms on the same base and between the same parallels have equal areas, and triangles on the same base and between the same parallels also have equal areas. Formulas for calculating the areas of parallelograms and triangles are reviewed.
Plans&elevations
This lesson teaches how to visualize and draw 2D representations of 3D objects through plans and elevations. It explains that a plan is a view from above and an elevation is a view from the side. It provides examples of different 3D shapes and guides the student in sketching the plan, side elevation, and front elevation of each shape. The goal is to help students analyze 3D shapes through their 2D projections.
Project report on maths
This document defines and explains properties of various quadrilaterals and triangles. It defines parallelograms, rectangles, rhombi, and trapezoids, listing their key properties such as opposite sides being parallel and congruent, opposite angles being congruent, diagonals bisecting each other, etc. It also defines scalene, isosceles, equilateral, acute, obtuse, and congruent triangles. Area formulas are provided for various shapes using base and height.
Corresponding parts of congruent figures.
This document section discusses identifying and naming congruent figures. It defines congruent figures as two figures that have the same size and shape. Congruent polygons have matching sides and angles. Corresponding parts of congruent figures are equal. Examples demonstrate writing congruence statements and identifying corresponding congruent parts of triangles.
Obj. 51 Prisms and Cylinders
This document provides information about calculating the surface area and volume of prisms and cylinders. It defines right and oblique prisms, and explains that the volume formula is the same for both as V=Bh, where B is the base area and h is the altitude or height. The same is true for cylinders, where the volume is V=πr^2h. Examples are given to find the volume of various prisms and cylinders. Formulas are also provided for calculating the lateral and total surface area of prisms as S=L+2B, where L is the lateral area calculated as L=Ph, and B is the base area. For cylinders, the lateral area formula is L=C*h,
CLASS IX MATHS Area of parallelogram
This document discusses the area of parallelograms. It defines key terms like base and height of a parallelogram. The height must be perpendicular to the base. It then shows that the area of a parallelogram can be calculated as the product of its base and height, using the formula A=bh. Some examples demonstrate finding the area, base, or height of parallelograms when given values of two of these three measures.
Posulate and theoroem
This document outlines several postulates of geometry:
1) Postulates are assumed to be true without proof and serve to explain undefined terms and prove other statements.
2) Seven postulates are described relating to lines, points, planes, and distances on a number line.
3) Five additional postulates are listed relating to line segments, circles, angles, and the intersection of lines cut by a transversal.
5.13.4 Volume
This document defines various 3D shapes and their volume formulas. It discusses how to calculate the volume of prisms, cylinders, pyramids, and cones. For prisms and cylinders, the volume is the area of the base multiplied by the height, regardless of whether the shape is right or oblique. The volume of a pyramid is one-third the area of the base multiplied by the height. For a cone, the volume is one-third pi times the area of the base times the height. Several examples are provided to demonstrate calculating volumes of different 3D shapes using the appropriate formulas.
Mensuration
A MENSURATIO PPT WHICH GIVES EXACT KNOWLEDGE MUST SEE IT
IF YOU WANT ME TO MAKE YOUR OWN SUBJECT PPT CALL ME ON NUMBER
9968821561
Area of parallelograms and triangles
This document discusses properties of parallelograms, triangles, and calculating their areas. It defines a parallelogram as a quadrilateral with both pairs of opposite sides parallel. Properties include opposite sides being parallel and congruent. It defines a triangle as a three-sided polygon. It explains that the area of a shape is a number associated with the enclosed plane region, with equal areas for congruent shapes and the sum of areas for shapes that combine. It discusses congruent figures having equal areas but not vice versa, and that parallelograms and triangles on the same base or between parallels have equal areas.
Areas pedro
This document provides formulas for calculating the areas of various shapes including squares, triangles, rectangles, trapezoids, rhombuses, circles, semicircles, cylinders, and semicylinders. It states that the area of a square is side squared, a triangle is half base times height, a rectangle is base times height, a trapezoid is half the sum of the bases times the height, a rhombus can be half the product of the diagonals or base times height, the area of a circle is pi times the radius squared, a semicircle is pi times the radius squared over 2, and the area of a cylinder or semicylinder is pi times the radius squared times the height or half
Geom 9point1
The document discusses similar right triangles formed by drawing an altitude to the hypotenuse. It introduces the theorem that the two triangles formed in this way are similar to the original triangle and each other. Several examples are then given of using proportions between corresponding sides of similar triangles to solve for unknown side lengths or heights.
Maths project on mensuration class 8 by indira singh
This document is a math project on mensuration submitted by Indira Singh of class VIIIA. It defines mensuration as the branch of mathematics dealing with measuring the areas and volumes of geometric figures. It then provides definitions of area and perimeter. The bulk of the document discusses different geometric shapes like squares, rectangles, triangles, parallelograms, trapezoids, rhombuses, cubes, cuboids and cylinders. It provides the number of sides, vertices, formulas to calculate the area and perimeter of two-dimensional shapes. It also gives the formulas to calculate the surface area and volume of three-dimensional solids.
Mensuration PPT CLASS 8 NCERT
INCLUDES ALL THE FORMULAS FOR SOLVING SUMS,DEPENDING UPON NCERT PUBLICATION FOR CLASS 8
MAKES STUDYING EASIER,USEFUL FOR MAKING PPT CAN USE TO MAKE PPT
Obj. 44 Volume
The student can calculate the volumes of prisms, cylinders, pyramids, and cones. The document defines different types of prisms and their components. It explains that the volume formula for any prism or cylinder is the base area multiplied by the height or altitude, regardless of whether it is right or oblique. Formulas are provided for calculating the volumes of pyramids and cones. Several examples are worked through applying the volume formulas to different shapes.
5.13.3 Volume
The document discusses calculating volumes of geometric solids such as prisms, cylinders, pyramids, and cones. It provides formulas for calculating volumes of right and oblique prisms and cylinders as well as formulas for pyramids and cones. Examples are given of applying the volume formulas to various solids. The key points are that volumes of prisms and cylinders do not depend on whether they are right or oblique and the formulas for calculating volumes are V = Bh for prisms and cylinders, V = 1/3Bh for pyramids, and V = 1/3πr^2h for cones.
Mensuration
This document discusses mensuration, which is the use of formulas to calculate perimeters, areas, and volumes of plane and solid shapes. It provides formulas and examples for calculating the areas of rectangles, triangles, trapezoids, circles, and composite figures. It also discusses surface area and volume formulas for three-dimensional shapes like boxes, cylinders, prisms, pyramids, cones, spheres, and solids in general. Diagrams and step-by-step examples are provided to demonstrate calculating measurements of various shapes.
Area of trapezium
A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.
Maths project
The document discusses different geometry concepts related to mensuration including cubes, cuboids, cylinders, cones, spheres and hemispheres. It defines key terms like total surface area, lateral surface area and volume. Formulas are provided to calculate surface areas and volumes of cubes, cuboids, cylinders, cones, spheres and hemispheres. Examples are given to illustrate concepts like hollow cylinders and spherical shells.
2.5.6 Perpendicular and Angle Bisectors
* Construct perpendicular and angle bisectors
* Use bisectors to solve problems
* Identify the circumcenter and incenter of a triangle
Day 15 angle pairs intro
This document introduces different types of angle pairs:
- Complementary angles sum to 90 degrees.
- Supplementary angles sum to 180 degrees.
- Vertical angles are opposite angles formed when two lines intersect, and are always equal.
- Adjacent angles share a common vertex and side.
It provides examples of identifying different types of angle pairs and notes there will be a cumulative exam on angle pairs next week.
Exploring the Pythagorean Relationship
The document explores the Pythagorean relationship through an activity with cut-out squares that form three triangles. Students are asked to measure the sides and angles of the triangles, record the data in a table, and identify which triangles are right triangles based on having a 90 degree angle. For right triangles, students state the relationship between the areas of the squares and describe the relationship between the side lengths as being the Pythagorean relationship, where the area of the hypotenuse square equals the sum of the areas of the other two squares.
MWA10 6.2 Similar Polygons
The document discusses determining if two polygons are similar. It provides two criteria for similarity: (1) corresponding angles must be congruent, and (2) the ratios of corresponding sides must be equal. Examples are then given to demonstrate applying these criteria to determine if polygons and scaled figures are similar or not similar.
Asa congruence postulate
If the two angles and an included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.
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.
Proportion
A proportion is an equation that sets two ratios equal to each other. The extremes (first and last terms) of a proportion are equal to the product of the means (middle terms). For example, if a/b = c/d, then a*d = b*c. Proportions can be used to solve scale drawings and models where the scale gives the ratio between actual dimensions and those depicted. Setting up and solving proportions allows finding unknown values when a scale ratio and one set of dimensions is given.
More Related Content
What's hot
Obj. 51 Prisms and Cylinders
This document provides information about calculating the surface area and volume of prisms and cylinders. It defines right and oblique prisms, and explains that the volume formula is the same for both as V=Bh, where B is the base area and h is the altitude or height. The same is true for cylinders, where the volume is V=πr^2h. Examples are given to find the volume of various prisms and cylinders. Formulas are also provided for calculating the lateral and total surface area of prisms as S=L+2B, where L is the lateral area calculated as L=Ph, and B is the base area. For cylinders, the lateral area formula is L=C*h,
CLASS IX MATHS Area of parallelogram
This document discusses the area of parallelograms. It defines key terms like base and height of a parallelogram. The height must be perpendicular to the base. It then shows that the area of a parallelogram can be calculated as the product of its base and height, using the formula A=bh. Some examples demonstrate finding the area, base, or height of parallelograms when given values of two of these three measures.
Posulate and theoroem
This document outlines several postulates of geometry:
1) Postulates are assumed to be true without proof and serve to explain undefined terms and prove other statements.
2) Seven postulates are described relating to lines, points, planes, and distances on a number line.
3) Five additional postulates are listed relating to line segments, circles, angles, and the intersection of lines cut by a transversal.
5.13.4 Volume
This document defines various 3D shapes and their volume formulas. It discusses how to calculate the volume of prisms, cylinders, pyramids, and cones. For prisms and cylinders, the volume is the area of the base multiplied by the height, regardless of whether the shape is right or oblique. The volume of a pyramid is one-third the area of the base multiplied by the height. For a cone, the volume is one-third pi times the area of the base times the height. Several examples are provided to demonstrate calculating volumes of different 3D shapes using the appropriate formulas.
Mensuration
A MENSURATIO PPT WHICH GIVES EXACT KNOWLEDGE MUST SEE IT
IF YOU WANT ME TO MAKE YOUR OWN SUBJECT PPT CALL ME ON NUMBER
9968821561
Area of parallelograms and triangles
This document discusses properties of parallelograms, triangles, and calculating their areas. It defines a parallelogram as a quadrilateral with both pairs of opposite sides parallel. Properties include opposite sides being parallel and congruent. It defines a triangle as a three-sided polygon. It explains that the area of a shape is a number associated with the enclosed plane region, with equal areas for congruent shapes and the sum of areas for shapes that combine. It discusses congruent figures having equal areas but not vice versa, and that parallelograms and triangles on the same base or between parallels have equal areas.
Areas pedro
This document provides formulas for calculating the areas of various shapes including squares, triangles, rectangles, trapezoids, rhombuses, circles, semicircles, cylinders, and semicylinders. It states that the area of a square is side squared, a triangle is half base times height, a rectangle is base times height, a trapezoid is half the sum of the bases times the height, a rhombus can be half the product of the diagonals or base times height, the area of a circle is pi times the radius squared, a semicircle is pi times the radius squared over 2, and the area of a cylinder or semicylinder is pi times the radius squared times the height or half
Geom 9point1
The document discusses similar right triangles formed by drawing an altitude to the hypotenuse. It introduces the theorem that the two triangles formed in this way are similar to the original triangle and each other. Several examples are then given of using proportions between corresponding sides of similar triangles to solve for unknown side lengths or heights.
Maths project on mensuration class 8 by indira singh
This document is a math project on mensuration submitted by Indira Singh of class VIIIA. It defines mensuration as the branch of mathematics dealing with measuring the areas and volumes of geometric figures. It then provides definitions of area and perimeter. The bulk of the document discusses different geometric shapes like squares, rectangles, triangles, parallelograms, trapezoids, rhombuses, cubes, cuboids and cylinders. It provides the number of sides, vertices, formulas to calculate the area and perimeter of two-dimensional shapes. It also gives the formulas to calculate the surface area and volume of three-dimensional solids.
Mensuration PPT CLASS 8 NCERT
INCLUDES ALL THE FORMULAS FOR SOLVING SUMS,DEPENDING UPON NCERT PUBLICATION FOR CLASS 8
MAKES STUDYING EASIER,USEFUL FOR MAKING PPT CAN USE TO MAKE PPT
Obj. 44 Volume
The student can calculate the volumes of prisms, cylinders, pyramids, and cones. The document defines different types of prisms and their components. It explains that the volume formula for any prism or cylinder is the base area multiplied by the height or altitude, regardless of whether it is right or oblique. Formulas are provided for calculating the volumes of pyramids and cones. Several examples are worked through applying the volume formulas to different shapes.
5.13.3 Volume
The document discusses calculating volumes of geometric solids such as prisms, cylinders, pyramids, and cones. It provides formulas for calculating volumes of right and oblique prisms and cylinders as well as formulas for pyramids and cones. Examples are given of applying the volume formulas to various solids. The key points are that volumes of prisms and cylinders do not depend on whether they are right or oblique and the formulas for calculating volumes are V = Bh for prisms and cylinders, V = 1/3Bh for pyramids, and V = 1/3πr^2h for cones.
Mensuration
This document discusses mensuration, which is the use of formulas to calculate perimeters, areas, and volumes of plane and solid shapes. It provides formulas and examples for calculating the areas of rectangles, triangles, trapezoids, circles, and composite figures. It also discusses surface area and volume formulas for three-dimensional shapes like boxes, cylinders, prisms, pyramids, cones, spheres, and solids in general. Diagrams and step-by-step examples are provided to demonstrate calculating measurements of various shapes.
Area of trapezium
A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.
Maths project
The document discusses different geometry concepts related to mensuration including cubes, cuboids, cylinders, cones, spheres and hemispheres. It defines key terms like total surface area, lateral surface area and volume. Formulas are provided to calculate surface areas and volumes of cubes, cuboids, cylinders, cones, spheres and hemispheres. Examples are given to illustrate concepts like hollow cylinders and spherical shells.
2.5.6 Perpendicular and Angle Bisectors
* Construct perpendicular and angle bisectors
* Use bisectors to solve problems
* Identify the circumcenter and incenter of a triangle
Day 15 angle pairs intro
This document introduces different types of angle pairs:
- Complementary angles sum to 90 degrees.
- Supplementary angles sum to 180 degrees.
- Vertical angles are opposite angles formed when two lines intersect, and are always equal.
- Adjacent angles share a common vertex and side.
It provides examples of identifying different types of angle pairs and notes there will be a cumulative exam on angle pairs next week.
Exploring the Pythagorean Relationship
The document explores the Pythagorean relationship through an activity with cut-out squares that form three triangles. Students are asked to measure the sides and angles of the triangles, record the data in a table, and identify which triangles are right triangles based on having a 90 degree angle. For right triangles, students state the relationship between the areas of the squares and describe the relationship between the side lengths as being the Pythagorean relationship, where the area of the hypotenuse square equals the sum of the areas of the other two squares.
MWA10 6.2 Similar Polygons
The document discusses determining if two polygons are similar. It provides two criteria for similarity: (1) corresponding angles must be congruent, and (2) the ratios of corresponding sides must be equal. Examples are then given to demonstrate applying these criteria to determine if polygons and scaled figures are similar or not similar.
Asa congruence postulate
If the two angles and an included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.
What's hot (20)
Maths project on mensuration class 8 by indira singh
Maths project on mensuration class 8 by indira singh
Viewers also liked
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.
Proportion
A proportion is an equation that sets two ratios equal to each other. The extremes (first and last terms) of a proportion are equal to the product of the means (middle terms). For example, if a/b = c/d, then a*d = b*c. Proportions can be used to solve scale drawings and models where the scale gives the ratio between actual dimensions and those depicted. Setting up and solving proportions allows finding unknown values when a scale ratio and one set of dimensions is given.
ratio and proportion
Ratio and proportion can be expressed in different ways. A ratio compares two numbers using a colon or fraction. A proportion states that two ratios are equal, also using a colon or equal fractions. To solve proportions, use cross multiplication. Word problems can involve finding an unknown value given ratios or proportions related to distances, times, enrollments and other quantities.
Ratio, Probability, Proportion, Percent Jeopardy Review
This document provides information and examples about ratios, proportions, percents, rates, conversions, similar figures and scale, probability, and odds. It includes examples of converting between rates, fractions, decimals and percents. It also covers finding unit rates, proportions, scale drawings, probability, odds, and the differences between ratios, rates, and proportions.
Ratio and proportion
This document defines ratio and proportion. A ratio compares parts to parts and is written with a colon, such as 1:2. A proportion compares a part to the whole and is written as a fraction, such as 1/3. An example is provided of using a ratio to solve a word problem about the number of new and old songs played on a radio show given the number of new songs.
1 - Ratios & Proportions
This document provides instruction on ratios, proportions, and solving proportions with variables. It begins with defining ratios as comparisons between two sets of numbers and provides examples of common ratios like miles per hour. It then discusses the different ways to write ratios, such as using "to", a colon, or as a fraction. The document also covers reducing ratios, determining if two ratios form a proportion by cross-multiplying, and using proportions to solve for unknown values. Examples are provided to demonstrate setting up and solving proportions step-by-step.
Proportional shapes
This document discusses proportions and similar figures in geometry. It explains that proportions involve equal ratios that can be used with similar figures, which have the same shape but different sizes. Examples show setting up and solving proportions to find unknown dimensions of similar figures. The document provides practice problems involving similar right triangles and real-world applications of using proportions to calculate heights. It discusses accuracy and potential sources of error when using this method.
Ratio And Proportion Powerpoint
The document discusses ratios, proportions, and solving ratio and proportion problems. It defines ratio as comparing amounts or parts and gives examples of ratios written in forms like 1:3. It explains direct proportion as having the same rate of increase or decrease. It provides examples of ratio and proportion word problems and steps to solve them, such as finding the number of nurses needed given a ratio of nurses to children or how many bowls of cereal can be made from a given amount of milk.
Ratio and proportion
This document contains materials for a mathematics lesson on ratios and proportions. It includes examples of writing ratios using fractions and colons, forming proportions, and finding missing terms in proportions. Activities guide students to form ratios, write proportions, solve word problems involving ratios, and evaluate their understanding through questions and applications using visual representations. Cooperative learning strategies and using various tools like charts and presentations are suggested for instruction.
Ratio Analysis Ppt
Ratio analysis involves calculating relationships between financial statement items to interpret a firm's financial condition and performance. Ratios can be classified into liquidity, capital structure, profitability, and activity ratios. Liquidity ratios measure short-term solvency, capital structure ratios measure long-term solvency, profitability ratios measure operating efficiency and returns, and activity ratios measure asset utilization and efficiency. Ratios are compared over time, against industry standards, or between firms to identify strengths, weaknesses, and trends.
Ratio Analysis
The document discusses various types of ratios used in ratio analysis for evaluating the financial performance and position of a business. It provides definitions and interpretations for liquidity ratios like current ratio and quick ratio, solvency ratios like debt-equity ratio and proprietary ratio, activity ratios like stock turnover ratio and debtor turnover ratio, and profitability ratios like gross profit ratio, net profit ratio, and return on capital employed. Formulas and ideal ratios are given for each type of financial ratio.
Viewers also liked (11)
Ratio, Probability, Proportion, Percent Jeopardy Review
Ratio, Probability, Proportion, Percent Jeopardy Review
Similar to Similar Figures
Geometry of shapes
This document defines and explains properties of various quadrilaterals:
- Parallelograms have two pairs of parallel sides and opposite sides are congruent and angles are congruent. The diagonals of a parallelogram bisect each other.
- Rectangles are parallelograms with four right angles. Squares are rectangles with four congruent sides.
- Rhombuses are parallelograms with four congruent sides. The diagonals of a rhombus are perpendicular.
- Trapezoids have one pair of parallel sides called bases. The median of a trapezoid is parallel to its bases and is half the sum of the bases.
Similar and congruent figures
Similar figures have the same shape but not size, with the same ratio of corresponding side lengths. Congruent figures have the same shape and size. The ≅ symbol indicates figures are similar, while the = symbol shows they are congruent. Similar triangles problems involve finding side length ratios, while congruent figure problems involve determining specific side lengths using corresponding parts of the same position between figures.
Text 10.5 similar congruent polygons
Two polygons are similar if they have the same shape but not necessarily the same size. Congruent polygons have the same shape and the same size. The document provides examples of finding corresponding sides and angles of similar and congruent polygons. It also gives examples of determining if two polygons are similar by checking if the ratios of corresponding sides are equal.
Unit 9 review
This document appears to be a geometry test containing multiple choice and short answer questions about identifying different polygons based on their properties and calculating their areas. The test covers topics like triangles, quadrilaterals, parallelograms, rectangles, rhombuses, trapezoids, and regular polygons. It asks students to identify figures, write area formulas, calculate areas of different shapes like parallelograms, trapezoids and rhombuses, and find the area of a quadrilateral by graphing its vertices on a coordinate plane.
Math 9 similar triangles intro
The document is a lecture on similar triangles. It defines similar triangles as having the same shape but different sizes, and discusses how similar triangles have corresponding angles that are congruent and corresponding sides that are proportional. It provides examples of similar triangles and statements showing their similarity. It also covers using proportions of corresponding sides to solve for missing sides in similar triangles and several proportionality principles related to similar triangles, including the basic proportionality theorem involving parallel lines cutting across a triangle.
Congruent figures
Similar figures have the same shape but not size, with the same ratio of corresponding side lengths. Congruent figures have the same shape and size. The Greek symbol Δ means figures are similar, while the symbol ≅ means figures are congruent. Similar triangles have a ratio of 3:4:5, and in congruent figures corresponding parts are equal, so EF must be 8 and BC must be 12.
Similar and Congruent Figures.ppt
Similar figures have the same shape but not size, with the same ratio of corresponding side lengths. Congruent figures have the same shape and size. The Greek symbol Δ means figures are similar, while the symbol ≅ means figures are congruent. Similar triangles have a ratio of 3:4:5, and in congruent figures corresponding parts are equal, so EF must be 8 and BC must be 12.
Congruent figures
Similar figures have the same shape but not size, with the same ratio of corresponding side lengths. Congruent figures have the same shape and size. The Greek symbol Δ means figures are similar, while the symbol ≅ means figures are congruent. Similar triangles have a ratio of 3:4:5, and in congruent figures corresponding parts are equal, so EF must be 8 and BC must be 12.
J9 b06dbd
This document provides information about similar and congruent figures in geometry. It defines similar figures as those that have the same shape but not necessarily the same size, while congruent figures have both the same shape and the same size. Corresponding parts of similar figures, such as corresponding angles and sides, are identified and their properties are described. Examples are provided to demonstrate how to determine if figures are similar based on ratios of corresponding side lengths. Congruent figures are also discussed, noting that corresponding angles and sides of congruent figures are congruent. The document concludes with practice problems applying the concepts of similar and congruent figures.
7th pre alg similarity & triangles
This document discusses similarity between shapes and triangles. It provides the following key points:
1. Two shapes are similar if corresponding angles are equal and corresponding sides are proportional. All regular polygons and rectangles can be similar or not similar depending on if they meet these criteria.
2. If two shapes are similar, one is an enlargement of the other. The scale factor represents the ratio of corresponding sides.
3. Similar triangles only require equal corresponding angles, not proportional sides. Unknown sides of similar triangles can be found using scale factors determined from corresponding sides.
4. Parallel lines drawn to the sides of a triangle form similar triangles. This property can be used to solve problems involving similar triangles.
Unit5
This document provides information about different types of angles and triangles. It defines vertical angles, adjacent angles, complementary angles, supplementary angles, acute triangles, right triangles, obtuse triangles, isosceles triangles, equilateral triangles, and scalene triangles. It also discusses properties of parallelograms, rectangles, and squares. Examples are provided to classify different angles and triangle types.
Geometry Power Point 5th grade
Geometry is the branch of mathematics that measures and compares points, lines, angles, surfaces, and solids. It defines basic shapes such as points, lines, rays, angles, and planes. It also covers types of angles and intersections between lines. Additionally, it categorizes polygons by number of sides and characteristics. Key concepts include perimeter, area, symmetry, and three-dimensional solids. The document provides definitions and examples of basic geometric elements, shapes, their properties, and how to measure them.
Maths porject work - quadrilaterals - nihal gour
This document discusses different types of quadrilaterals. It defines a quadrilateral as a polygon with four sides and provides definitions for specific types including trapezoids, parallelograms, rectangles, rhombuses, squares, and kites. It also includes a taxonomic classification chart showing the relationships between different quadrilaterals and provides some properties of parallelograms, rectangles, rhombuses, and squares.
Congruent and similar triangle by ritik
This document discusses congruent and similar triangles. It defines that congruent triangles have all sides and angles equal, while similar triangles have the same shape but not necessarily the same size. It explains that two figures can be similar but not congruent, but not the other way around. It then discusses how to determine if triangles are similar using corresponding sides, angles, ratios, and proportions. Specifically, it states that if two triangles have two congruent angles or all sides proportional, then the triangles are similar.
Congruent and similar triangle by ritik
This document discusses congruent and similar triangles. It begins by introducing the concepts and explaining how recognizing similar shapes can simplify design work. It then defines congruent triangles as having equal sides and angles, while similar triangles have the same shape but not necessarily the same size. The document notes that two figures can be similar but not congruent, but not vice versa. It provides examples of similar and congruent figures. It further explains that similar triangles have corresponding sides and angles in the same locations that are in the same ratio. It demonstrates using ratios and proportions to determine unknown side lengths in similar polygons. Finally, it discusses ways to prove triangles are similar, including having congruent corresponding angles (AA similarity) or proportional corresponding sides (SS
Congruent and similar triangle by ritik
This document discusses congruent and similar triangles. It defines that congruent triangles have all sides and angles equal, while similar triangles have the same shape but not necessarily the same size. It explains that two figures can be similar but not congruent, but not the other way around. It then discusses how corresponding sides of similar triangles have equal ratios, and how proportions can be used to determine unknown side lengths. Finally, it describes two methods of proving triangles are similar: the AA criterion where two angles are equal, and the SSS criterion where all three sides are proportional.
Congruent and similar triangle by ritik
This document discusses congruent and similar triangles. It begins by introducing the concepts and explaining how recognizing similar shapes can simplify design work. It then defines congruent triangles as having equal sides and angles, while similar triangles have the same shape but not necessarily the same size. The document notes that two figures can be similar but not congruent, but not vice versa. It provides examples of similar and congruent figures. It further explains that similar triangles have corresponding sides and angles in the same locations that are in the same ratio. It demonstrates using ratios and proportions to determine unknown side lengths in similar figures. Finally, it discusses ways to prove triangles are similar, including having congruent corresponding angles (AA similarity) or proportional corresponding sides (SS
Congruent and similar triangle by ritik
This document discusses congruent and similar triangles. It begins by introducing the concepts and explaining how recognizing similar shapes can simplify design work. It then defines congruent triangles as having equal sides and angles, while similar triangles have the same shape but not necessarily the same size. The document notes that two figures can be similar but not congruent, but not vice versa. It provides examples of similar and congruent figures. It further explains that similar triangles have corresponding sides and angles in the same locations that are in the same ratio. It demonstrates using ratios and proportions to determine unknown side lengths in similar figures. Finally, it discusses ways to prove triangles are similar, including having congruent corresponding angles (AA similarity) or proportional corresponding sides (SS
Similar Triangles Notes
1) Congruent and similar triangles can be used to simplify design and calculations. Congruent triangles have equal sides and angles, while similar triangles have the same shape but not necessarily the same size.
2) Corresponding sides and angles of similar triangles have the same ratios. Ratios can be used to determine unknown side lengths.
3) Triangles are similar if two angles are congruent (AA similarity) or if all three sides are proportional (SSS similarity).
Lesson 35
Students will learn to identify similar and congruent polygons. Similar polygons have the same shape but different sizes, with corresponding angles that are equal and sides that are proportional. Congruent polygons have the same shape and size, with both corresponding angles and sides that are equal. Examples are provided to demonstrate side-side-side similarity, angle-angle-angle similarity, finding missing sides, and using scale factors to determine actual lengths and widths from a drawing.
Similar to Similar Figures (20)
Recently uploaded
TIMES BPO: Business Plan For Startup Industry
Starting a business is like embarking on an unpredictable adventure. It’s a journey filled with highs and lows, victories and defeats. But what if I told you that those setbacks and failures could be the very stepping stones that lead you to fortune? Let’s explore how resilience, adaptability, and strategic thinking can transform adversity into opportunity.
Maksym Vyshnivetskyi: PMO KPIs (UA) (#12)
Maksym Vyshnivetskyi: PMO KPIs (UA)
Lemberg PMO School 2024
Website – https://lembs.com/pmoschool
Youtube – https://www.youtube.com/startuplviv
FB – https://www.facebook.com/pmdayconference
Satta Matka Dpboss Matka Guessing Kalyan Chart Indian Matka Kalyan panel Chart
Satta Matka Dpboss Matka Guessing Kalyan Chart Indian Matka Kalyan panel Chart➒➌➎➏➑➐➋➑➐➐Dpboss Matka Guessing Satta Matka Kalyan Chart Indian Matka
SATTA MATKA SATTA FAST RESULT KALYAN TOP MATKA RESULT KALYAN SATTA MATKA FAST RESULT MILAN RATAN RAJDHANI MAIN BAZAR MATKA FAST TIPS RESULT MATKA CHART JODI CHART PANEL CHART FREE FIX GAME SATTAMATKA ! MATKA MOBI SATTA 143 spboss.in TOP NO1 RESULT FULL RATE MATKA ONLINE GAME PLAY BY APP SPBOSSBusiness storytelling: key ingredients to a story
Storytelling is an incredibly valuable tool to share data and information. To get the most impact from stories there are a number of key ingredients. These are based on science and human nature. Using these elements in a story you can deliver information impactfully, ensure action and drive change.
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Innovation Management Frameworks: Your Guide to Creativity & InnovationOperational Excellence Consulting
[To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentations]
This PowerPoint compilation offers a comprehensive overview of 20 leading innovation management frameworks and methodologies, selected for their broad applicability across various industries and organizational contexts. These frameworks are valuable resources for a wide range of users, including business professionals, educators, and consultants.
Each framework is presented with visually engaging diagrams and templates, ensuring the content is both informative and appealing. While this compilation is thorough, please note that the slides are intended as supplementary resources and may not be sufficient for standalone instructional purposes.
This compilation is ideal for anyone looking to enhance their understanding of innovation management and drive meaningful change within their organization. Whether you aim to improve product development processes, enhance customer experiences, or drive digital transformation, these frameworks offer valuable insights and tools to help you achieve your goals.
INCLUDED FRAMEWORKS/MODELS:
1. Stanford’s Design Thinking
2. IDEO’s Human-Centered Design
3. Strategyzer’s Business Model Innovation
4. Lean Startup Methodology
5. Agile Innovation Framework
6. Doblin’s Ten Types of Innovation
7. McKinsey’s Three Horizons of Growth
8. Customer Journey Map
9. Christensen’s Disruptive Innovation Theory
10. Blue Ocean Strategy
11. Strategyn’s Jobs-To-Be-Done (JTBD) Framework with Job Map
12. Design Sprint Framework
13. The Double Diamond
14. Lean Six Sigma DMAIC
15. TRIZ Problem-Solving Framework
16. Edward de Bono’s Six Thinking Hats
17. Stage-Gate Model
18. Toyota’s Six Steps of Kaizen
19. Microsoft’s Digital Transformation Framework
20. Design for Six Sigma (DFSS)
To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentationsAnny Serafina Love - Letter of Recommendation by Kellen Harkins, MS.
This letter, written by Kellen Harkins, Course Director at Full Sail University, commends Anny Love's exemplary performance in the Video Sharing Platforms class. It highlights her dedication, willingness to challenge herself, and exceptional skills in production, editing, and marketing across various video platforms like YouTube, TikTok, and Instagram.
How are Lilac French Bulldogs Beauty Charming the World and Capturing Hearts....
“After being the most listed dog breed in the United States for 31
years in a row, the Labrador Retriever has dropped to second place
in the American Kennel Club's annual survey of the country's most
popular canines. The French Bulldog is the new top dog in the
United States as of 2022. The stylish puppy has ascended the
rankings in rapid time despite having health concerns and limited
color choices.”
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
The Radar reflects input from APCO’s teams located around the world. It distils a host of interconnected events and trends into insights to inform operational and strategic decisions. Issues covered in this edition include:
Creative Web Design Company in Singapore
At Techbox Square, in Singapore, we're not just creative web designers and developers, we're the driving force behind your brand identity. Contact us today.
❼❷⓿❺❻❷❽❷❼❽ Dpboss Matka Result Satta Matka Guessing Satta Fix jodi Kalyan Fin...
❼❷⓿❺❻❷❽❷❼❽ Dpboss Matka Result Satta Matka Guessing Satta Fix jodi Kalyan Fin...❼❷⓿❺❻❷❽❷❼❽ Dpboss Kalyan Satta Matka Guessing Matka Result Main Bazar chart
❼❷⓿❺❻❷❽❷❼❽ Dpboss Matka Result Satta Matka Guessing Satta Fix jodi Kalyan Final ank Satta Matka Dpbos Final ank Satta Matta Matka 143 Kalyan Matka Guessing Final Matka Final ank Today Matka 420 Satta Batta Satta 143 Kalyan Chart Main Bazar Chart vip Matka Guessing Dpboss 143 Guessing Kalyan night Easily Verify Compliance and Security with Binance KYC
Use our simple KYC verification guide to make sure your Binance account is safe and compliant. Discover the fundamentals, appreciate the significance of KYC, and trade on one of the biggest cryptocurrency exchanges with confidence.
Industrial Tech SW: Category Renewal and Creation
Every industrial revolution has created a new set of categories and a new set of players.
Multiple new technologies have emerged, but Samsara and C3.ai are only two companies which have gone public so far.
Manufacturing startups constitute the largest pipeline share of unicorns and IPO candidates in the SF Bay Area, and software startups dominate in Germany.
Unveiling the Dynamic Personalities, Key Dates, and Horoscope Insights: Gemin...
Explore the fascinating world of the Gemini Zodiac Sign. Discover the unique personality traits, key dates, and horoscope insights of Gemini individuals. Learn how their sociable, communicative nature and boundless curiosity make them the dynamic explorers of the zodiac. Dive into the duality of the Gemini sign and understand their intellectual and adventurous spirit.
Best practices for project execution and delivery
A select set of project management best practices to keep your project on-track, on-cost and aligned to scope. Many firms have don't have the necessary skills, diligence, methods and oversight of their projects; this leads to slippage, higher costs and longer timeframes. Often firms have a history of projects that simply failed to move the needle. These best practices will help your firm avoid these pitfalls but they require fortitude to apply.
2022 Vintage Roman Numerals Men Rings
Discover timeless style with the 2022 Vintage Roman Numerals Men's Ring. Crafted from premium stainless steel, this 6mm wide ring embodies elegance and durability. Perfect as a gift, it seamlessly blends classic Roman numeral detailing with modern sophistication, making it an ideal accessory for any occasion.
https://rb.gy/usj1a2
Digital Transformation Frameworks: Driving Digital Excellence
[To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentations]
This presentation is a curated compilation of PowerPoint diagrams and templates designed to illustrate 20 different digital transformation frameworks and models. These frameworks are based on recent industry trends and best practices, ensuring that the content remains relevant and up-to-date.
Key highlights include Microsoft's Digital Transformation Framework, which focuses on driving innovation and efficiency, and McKinsey's Ten Guiding Principles, which provide strategic insights for successful digital transformation. Additionally, Forrester's framework emphasizes enhancing customer experiences and modernizing IT infrastructure, while IDC's MaturityScape helps assess and develop organizational digital maturity. MIT's framework explores cutting-edge strategies for achieving digital success.
These materials are perfect for enhancing your business or classroom presentations, offering visual aids to supplement your insights. Please note that while comprehensive, these slides are intended as supplementary resources and may not be complete for standalone instructional purposes.
Frameworks/Models included:
Microsoft’s Digital Transformation Framework
McKinsey’s Ten Guiding Principles of Digital Transformation
Forrester’s Digital Transformation Framework
IDC’s Digital Transformation MaturityScape
MIT’s Digital Transformation Framework
Gartner’s Digital Transformation Framework
Accenture’s Digital Strategy & Enterprise Frameworks
Deloitte’s Digital Industrial Transformation Framework
Capgemini’s Digital Transformation Framework
PwC’s Digital Transformation Framework
Cisco’s Digital Transformation Framework
Cognizant’s Digital Transformation Framework
DXC Technology’s Digital Transformation Framework
The BCG Strategy Palette
McKinsey’s Digital Transformation Framework
Digital Transformation Compass
Four Levels of Digital Maturity
Design Thinking Framework
Business Model Canvas
Customer Journey Map
Best Forex Brokers Comparison in INDIA 2024
Navigating the world of forex trading can be challenging, especially for beginners. To help you make an informed decision, we have comprehensively compared the best forex brokers in India for 2024. This article, reviewed by Top Forex Brokers Review, will cover featured award winners, the best forex brokers, featured offers, the best copy trading platforms, the best forex brokers for beginners, the best MetaTrader brokers, and recently updated reviews. We will focus on FP Markets, Black Bull, EightCap, IC Markets, and Octa.
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Satta Matka
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Satta Matka➒➌➎➏➑➐➋➑➐➐Dpboss Matka Guessing Satta Matka Kalyan Chart Indian Matka
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Indian Matka Indian satta Matka Dpboss Matka Kalyan Chart Matka Boss otg matka Guessing Satta Recently uploaded (20)
Satta Matka Dpboss Matka Guessing Kalyan Chart Indian Matka Kalyan panel Chart
Satta Matka Dpboss Matka Guessing Kalyan Chart Indian Matka Kalyan panel Chart
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Anny Serafina Love - Letter of Recommendation by Kellen Harkins, MS.
Anny Serafina Love - Letter of Recommendation by Kellen Harkins, MS.
How are Lilac French Bulldogs Beauty Charming the World and Capturing Hearts....
How are Lilac French Bulldogs Beauty Charming the World and Capturing Hearts....
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
❼❷⓿❺❻❷❽❷❼❽ Dpboss Matka Result Satta Matka Guessing Satta Fix jodi Kalyan Fin...
❼❷⓿❺❻❷❽❷❼❽ Dpboss Matka Result Satta Matka Guessing Satta Fix jodi Kalyan Fin...
Easily Verify Compliance and Security with Binance KYC
Easily Verify Compliance and Security with Binance KYC
Unveiling the Dynamic Personalities, Key Dates, and Horoscope Insights: Gemin...
Unveiling the Dynamic Personalities, Key Dates, and Horoscope Insights: Gemin...
Digital Transformation Frameworks: Driving Digital Excellence
Digital Transformation Frameworks: Driving Digital Excellence
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Satta Matka
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Satta Matka
Similar Figures
- 5. Similar Figures Sheet The Back