Sanowar's Basic Bank Math provides definitions for common geometry terms. It includes over 100 terms from A to J, with concise 1-2 sentence explanations for each. Some key terms defined include acute angle, adjacent, altitude, axis, base, bisector, circle, diameter, edge, equation, isosceles triangle, parallel, perpendicular, polygon, and vertex. The document serves as a helpful reference guide for basic geometry vocabulary.
A rhombus is an equilateral parallelogram with four equal sides and diagonals that are perpendicular bisectors of each other. Key properties include having two sets of congruent isosceles triangles formed by its diagonals, interior and exterior angles that sum to 360 degrees, and an area calculated as half the product of its two diagonals or as base times altitude.
This document defines key geometric concepts including points, lines, planes and their relationships. It explains that points have no size, lines extend indefinitely and planes are flat surfaces that extend without limits. It also covers topics like collinear points that lie on the same line, determining if objects are coplanar by lying on the same plane, and the different types of intersections between lines and planes, which can be a point, line or no intersection.
Presents mathematics and history of spherical trigonometry.
Since most of the figures are not uploaded I recommend to see this presentation on my website at http://www.solohermelin.com.at Math folder.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
1) An inscribed angle is an angle whose vertex lies on a circle and whose sides contain chords of the circle.
2) The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
3) If two inscribed angles intercept the same arc or congruent arcs, then the angles are congruent.
This document defines and describes properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides, and opposite sides are equal in length and opposite angles are equal. Key properties are that each diagonal bisects the parallelogram into two congruent triangles, opposite sides are equal, opposite angles are equal, and the diagonals bisect each other. It also describes three special types of parallelograms: rectangles have four right angles, rhombuses have four equal sides, and squares have four equal sides and four right angles.
- A circle is the set of all points in a plane that are equidistant from a fixed point called the center.
- Important terms related to circles include chord, diameter, arc, sector, minor/major segments.
- A tangent touches the circle at one point, a secant intersects at two points, and there can be at most two parallel tangents for a given secant.
- The tangent radius theorem states that the tangent is perpendicular to the radius at the point of contact. The equal tangent lengths theorem says tangents from an external point are equal in length.
The document defines different types of polygons based on the number of sides they have, including quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. It provides the sum of interior angles for each polygon type and notes that polygons can be regular or irregular, with regular polygons having equal side lengths and interior angles.
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.
A rhombus is an equilateral parallelogram with four equal sides and diagonals that are perpendicular bisectors of each other. Key properties include having two sets of congruent isosceles triangles formed by its diagonals, interior and exterior angles that sum to 360 degrees, and an area calculated as half the product of its two diagonals or as base times altitude.
This document defines key geometric concepts including points, lines, planes and their relationships. It explains that points have no size, lines extend indefinitely and planes are flat surfaces that extend without limits. It also covers topics like collinear points that lie on the same line, determining if objects are coplanar by lying on the same plane, and the different types of intersections between lines and planes, which can be a point, line or no intersection.
Presents mathematics and history of spherical trigonometry.
Since most of the figures are not uploaded I recommend to see this presentation on my website at http://www.solohermelin.com.at Math folder.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
1) An inscribed angle is an angle whose vertex lies on a circle and whose sides contain chords of the circle.
2) The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
3) If two inscribed angles intercept the same arc or congruent arcs, then the angles are congruent.
This document defines and describes properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides, and opposite sides are equal in length and opposite angles are equal. Key properties are that each diagonal bisects the parallelogram into two congruent triangles, opposite sides are equal, opposite angles are equal, and the diagonals bisect each other. It also describes three special types of parallelograms: rectangles have four right angles, rhombuses have four equal sides, and squares have four equal sides and four right angles.
- A circle is the set of all points in a plane that are equidistant from a fixed point called the center.
- Important terms related to circles include chord, diameter, arc, sector, minor/major segments.
- A tangent touches the circle at one point, a secant intersects at two points, and there can be at most two parallel tangents for a given secant.
- The tangent radius theorem states that the tangent is perpendicular to the radius at the point of contact. The equal tangent lengths theorem says tangents from an external point are equal in length.
The document defines different types of polygons based on the number of sides they have, including quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. It provides the sum of interior angles for each polygon type and notes that polygons can be regular or irregular, with regular polygons having equal side lengths and interior angles.
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.
This document provides instructions for determining angle measures when parallel lines are cut by a transversal. It defines key terms like parallel lines, transversal, and corresponding angles. It explains properties of angles like supplementary angles that add to 180 degrees and vertical angles that are equal. Examples show how to use these properties to find missing angle measures, such as if one corresponding angle is known, the other equal angle can be determined without a protractor.
This document defines and provides properties of kites and trapezoids. It states that a kite is a quadrilateral with two pairs of congruent consecutive sides, and its diagonals are perpendicular. A trapezoid has one pair of parallel sides called bases, and the nonparallel sides are legs. An isosceles trapezoid has two congruent base angles. The midsegment of a trapezoid is parallel to the bases and is half the sum of the base lengths. Examples are provided to demonstrate solving problems using properties of kites and trapezoids.
This document defines and provides properties of parallelograms, rectangles, squares, and rhombuses. It states that a parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rectangle is a parallelogram with right angles, and a square is a rectangle with all sides congruent. A rhombus is a parallelogram with all sides equal. It then provides 5 theorems about parallelograms, including that diagonals bisect each other and opposite angles are congruent. An example problem applies these properties to find missing angle and side measures.
Math 7 geometry 02 postulates and theorems on points, lines, and planesGilbert Joseph Abueg
This document covers basic concepts in geometry including:
1. Definitions, undefined terms, postulates, and theorems related to points, lines, and planes. Undefined terms include points, lines, and planes. Definitions clearly define concepts like line segments.
2. Postulates are statements accepted as true without proof, including the ruler postulate, segment addition postulate, and plane postulate.
3. Theorems are important statements that can be proven, such as the intersection of lines theorem and the theorem regarding a line and point determining a unique plane.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
This document provides information about different types of geometry, including Euclidean and non-Euclidean geometry. It discusses key concepts in Euclidean geometry such as points, lines, planes, and undefined terms. It also covers non-Euclidean geometries like spherical and hyperbolic geometry. Different types of angles are defined and how to measure them using a protractor. Postulates about lines and angles are presented.
The document defines and describes the different parts and types of triangles. It discusses the primary parts of a triangle including sides, angles, and vertices. It then describes the secondary parts such as the median, altitude, and angle bisector. The document outlines the different types of triangles according to their angles, including acute, obtuse, right, and equiangular triangles. It also defines triangle types according to their sides, such as scalene, isosceles, and equilateral triangles. In the end, it provides an activity to test the reader's understanding of these triangle concepts.
This document discusses different methods for proving that triangles are congruent: SSS, SAS, ASA, AAS, and HL. It defines congruent polygons as having the same size and shape, meaning all corresponding sides are the same length and all corresponding angles have the same measure. The order of letters in a congruence statement indicates which angles or sides are being shown as congruent to prove the triangles are congruent.
The document defines and describes basic geometric terms including:
- Points have no size and specify an exact location. Lines intersect at common points.
- Straight lines extend forever in one direction while rays have a starting point and extend in one direction.
- Angles are formed by two rays with a common endpoint called the vertex. Angles are measured in degrees and can be acute, right, obtuse, flat, or full.
- Polygons are closed figures formed by connecting line segments. Regular polygons have equal sides and angles while irregular polygons do not.
The presentation is developed by my students .The project is "Kite,special member of Quadrilaterals,
The students learnt kite making,kite flying also.They enjoyed Mathematics lesson
- A trapezoid is a quadrilateral with one pair of parallel sides called the bases. The non-parallel sides are called the legs.
- An isosceles trapezoid has one pair of parallel sides and one pair of congruent non-parallel sides called legs.
- Theorems about the isosceles trapezoid include: the base angles are congruent, opposite angles are supplementary, and the diagonals are congruent.
- The median of any trapezoid is parallel to the bases and is equal to half the sum of the bases.
This lesson covers properties of trapezoids and kites. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and defines properties including that the nonparallel sides are legs and the parallel sides are bases. An isosceles trapezoid has congruent legs. The lesson also defines a kite as a quadrilateral with two pairs of consecutive congruent sides, and defines properties such as perpendicular diagonals and congruent non-vertex angles. Examples of solving problems involving finding angle measures of trapezoids and kites are provided.
1. This module discusses characteristics of circles such as lines, segments, arcs, and angles. It defines circles and their components like radii, chords, diameters, secants, and tangents.
2. The module covers relationships between these components, such as a radius bisecting a chord if it is perpendicular to it. It also defines types of arcs and angles, such as central angles that are equal to their intercepted arcs.
3. The summary provides examples of applying theorems about congruent arcs, chords, and angles to determine if components are congruent in circles or congruent circles.
The document defines the three undefined terms in geometry - point, line, and plane. It explains that a point has no dimensions, a line has one dimension and infinite length, and a plane has two dimensions and infinite length and width. It provides examples of how these terms relate to real-life objects, such as stars being points, a pencil being a line, and a table top being a plane. The document concludes by assigning the reader to draw three real-life objects exemplifying the three terms on a sheet of paper.
This document defines and describes the six types of quadrilaterals: square, rectangle, parallelogram, rhombus, trapezoid, and trapezium. It provides the key properties and formulas to calculate the perimeter, area, and diagonals of each shape. The main properties discussed include opposite sides being parallel, equal or congruent, interior angles being right angles or supplementary, and using formulas like the Pythagorean theorem, area equals base times height, and perimeter equals the sum of all sides.
This will help you in naming an angle and identifying its kinds.
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This document discusses secondary parts of triangles including angle bisectors, perpendicular bisectors, medians, and altitudes. It defines each part and notes that angle bisectors meet at the incenter, perpendicular bisectors meet at the circumcenter, medians meet at the centroid, and altitudes meet at the orthocenter. Diagrams are included showing how to draw triangles inside and outside of circles.
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.
This document provides an alphabetical list of geometry vocabulary terms and their definitions. It includes terms like acute angle, altitude, angle, arc, area, base, bisect, central angle, chord, circle, circumference, collinear, complementary angles, cone, congruent, and many others. Over 50 key geometry terms are defined.
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.
This document provides instructions for determining angle measures when parallel lines are cut by a transversal. It defines key terms like parallel lines, transversal, and corresponding angles. It explains properties of angles like supplementary angles that add to 180 degrees and vertical angles that are equal. Examples show how to use these properties to find missing angle measures, such as if one corresponding angle is known, the other equal angle can be determined without a protractor.
This document defines and provides properties of kites and trapezoids. It states that a kite is a quadrilateral with two pairs of congruent consecutive sides, and its diagonals are perpendicular. A trapezoid has one pair of parallel sides called bases, and the nonparallel sides are legs. An isosceles trapezoid has two congruent base angles. The midsegment of a trapezoid is parallel to the bases and is half the sum of the base lengths. Examples are provided to demonstrate solving problems using properties of kites and trapezoids.
This document defines and provides properties of parallelograms, rectangles, squares, and rhombuses. It states that a parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rectangle is a parallelogram with right angles, and a square is a rectangle with all sides congruent. A rhombus is a parallelogram with all sides equal. It then provides 5 theorems about parallelograms, including that diagonals bisect each other and opposite angles are congruent. An example problem applies these properties to find missing angle and side measures.
Math 7 geometry 02 postulates and theorems on points, lines, and planesGilbert Joseph Abueg
This document covers basic concepts in geometry including:
1. Definitions, undefined terms, postulates, and theorems related to points, lines, and planes. Undefined terms include points, lines, and planes. Definitions clearly define concepts like line segments.
2. Postulates are statements accepted as true without proof, including the ruler postulate, segment addition postulate, and plane postulate.
3. Theorems are important statements that can be proven, such as the intersection of lines theorem and the theorem regarding a line and point determining a unique plane.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
This document provides information about different types of geometry, including Euclidean and non-Euclidean geometry. It discusses key concepts in Euclidean geometry such as points, lines, planes, and undefined terms. It also covers non-Euclidean geometries like spherical and hyperbolic geometry. Different types of angles are defined and how to measure them using a protractor. Postulates about lines and angles are presented.
The document defines and describes the different parts and types of triangles. It discusses the primary parts of a triangle including sides, angles, and vertices. It then describes the secondary parts such as the median, altitude, and angle bisector. The document outlines the different types of triangles according to their angles, including acute, obtuse, right, and equiangular triangles. It also defines triangle types according to their sides, such as scalene, isosceles, and equilateral triangles. In the end, it provides an activity to test the reader's understanding of these triangle concepts.
This document discusses different methods for proving that triangles are congruent: SSS, SAS, ASA, AAS, and HL. It defines congruent polygons as having the same size and shape, meaning all corresponding sides are the same length and all corresponding angles have the same measure. The order of letters in a congruence statement indicates which angles or sides are being shown as congruent to prove the triangles are congruent.
The document defines and describes basic geometric terms including:
- Points have no size and specify an exact location. Lines intersect at common points.
- Straight lines extend forever in one direction while rays have a starting point and extend in one direction.
- Angles are formed by two rays with a common endpoint called the vertex. Angles are measured in degrees and can be acute, right, obtuse, flat, or full.
- Polygons are closed figures formed by connecting line segments. Regular polygons have equal sides and angles while irregular polygons do not.
The presentation is developed by my students .The project is "Kite,special member of Quadrilaterals,
The students learnt kite making,kite flying also.They enjoyed Mathematics lesson
- A trapezoid is a quadrilateral with one pair of parallel sides called the bases. The non-parallel sides are called the legs.
- An isosceles trapezoid has one pair of parallel sides and one pair of congruent non-parallel sides called legs.
- Theorems about the isosceles trapezoid include: the base angles are congruent, opposite angles are supplementary, and the diagonals are congruent.
- The median of any trapezoid is parallel to the bases and is equal to half the sum of the bases.
This lesson covers properties of trapezoids and kites. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and defines properties including that the nonparallel sides are legs and the parallel sides are bases. An isosceles trapezoid has congruent legs. The lesson also defines a kite as a quadrilateral with two pairs of consecutive congruent sides, and defines properties such as perpendicular diagonals and congruent non-vertex angles. Examples of solving problems involving finding angle measures of trapezoids and kites are provided.
1. This module discusses characteristics of circles such as lines, segments, arcs, and angles. It defines circles and their components like radii, chords, diameters, secants, and tangents.
2. The module covers relationships between these components, such as a radius bisecting a chord if it is perpendicular to it. It also defines types of arcs and angles, such as central angles that are equal to their intercepted arcs.
3. The summary provides examples of applying theorems about congruent arcs, chords, and angles to determine if components are congruent in circles or congruent circles.
The document defines the three undefined terms in geometry - point, line, and plane. It explains that a point has no dimensions, a line has one dimension and infinite length, and a plane has two dimensions and infinite length and width. It provides examples of how these terms relate to real-life objects, such as stars being points, a pencil being a line, and a table top being a plane. The document concludes by assigning the reader to draw three real-life objects exemplifying the three terms on a sheet of paper.
This document defines and describes the six types of quadrilaterals: square, rectangle, parallelogram, rhombus, trapezoid, and trapezium. It provides the key properties and formulas to calculate the perimeter, area, and diagonals of each shape. The main properties discussed include opposite sides being parallel, equal or congruent, interior angles being right angles or supplementary, and using formulas like the Pythagorean theorem, area equals base times height, and perimeter equals the sum of all sides.
This will help you in naming an angle and identifying its kinds.
For more instructional resources, CLICK me here! 👇👇👇
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LIKE and FOLLOW me here! 👍👍👍
https://tinyurl.com/ycjp8r7u
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This document discusses secondary parts of triangles including angle bisectors, perpendicular bisectors, medians, and altitudes. It defines each part and notes that angle bisectors meet at the incenter, perpendicular bisectors meet at the circumcenter, medians meet at the centroid, and altitudes meet at the orthocenter. Diagrams are included showing how to draw triangles inside and outside of circles.
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.
This document provides an alphabetical list of geometry vocabulary terms and their definitions. It includes terms like acute angle, altitude, angle, arc, area, base, bisect, central angle, chord, circle, circumference, collinear, complementary angles, cone, congruent, and many others. Over 50 key geometry terms are defined.
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.
The document discusses different types of solids and their properties. It describes solids as three-dimensional figures bounded by plane surfaces. The five Platonic solids are defined as regular polyhedrons with identical regular polygon faces and the same number of faces meeting at each vertex. Prisms and pyramids are also described, with prisms having two identical polygon bases and pyramids having one polygon base and triangular lateral faces meeting at a vertex. Solids of revolution like cylinders and cones are formed by rotating a curve around an axis. Projection of solids involves drawing their views in different orientations.
This document defines various geometric shapes and terms used in geometry. It provides definitions for point, line, plane, angle, perpendicular and parallel lines, triangle, right triangle, pentagon, hexagon, square, rectangle, trapezoid, parallelogram, circle, cylinder, sphere, octagon, polygon, and parabola. Each definition is concise, stating the key attributes that identify each shape or term.
The document defines and describes various basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, spheres, cubes and other three-dimensional shapes. It provides definitions for common two-dimensional shapes such as squares, rectangles, trapezoids and parallelograms. It also defines three-dimensional shapes like cylinders, cones, pyramids and their geometric properties.
This document defines and describes basic geometric shapes that are commonly found in the outdoors, including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, rays, and cones. Key properties are provided, such as parallel and perpendicular lines having slopes of 0 and -1 respectively, and a right triangle containing one right angle. Common quadrilaterals include squares, rectangles, trapezoids, and parallelograms. Circles are defined by all points at a given distance from the center, while cylinders and spheres have surfaces that are equidistant from the center at all points.
This document provides information on calculating the areas of various geometric shapes and figures. It defines area for polygons and discusses how to calculate the area of triangles, squares, rectangles, parallelograms, rhombuses, trapezoids, regular polygons, circles, circular rings, circular sectors, and circular segments. It also discusses solid shapes like prisms, pyramids, cylinders, spheres, cones, cubes, tetrahedrons, octahedrons, icosahedrons, and dodecahedrons, providing the formulas to calculate their surface areas. Finally, it covers geometric projections and how to obtain the three principal views of 3D solids.
This document discusses how to find the lateral area and surface area of a polyhedron called a prism. It defines key terms like polyhedron, altitude, lateral area, and net. It then explains that the lateral area of a right prism can be found using the formula LA = Hp, where H is the height and p is the perimeter of the base. The surface area of a right prism can be found using the formula SA = LA + 2B, where LA is the lateral area and B is the area of one base. Examples are provided to demonstrate calculating the lateral area and surface area of a right prism with a regular hexagonal base.
Jennifer Brown's geometry project focused on an ice cream parlor. Key shapes included a point at the bottom of an ice cream cone, line segments forming the edges of tiles on the floor, and a plane representing the floor. Angles were present in the metal sign holder and where wood met in a corner. Perpendicular lines were where the wood met to support a balcony. Parallel lines were seen in the stone edges. Other shapes included triangles in the chocolate, a right triangle in support beams, a pentagon in a bowl lip, a hexagon also in the bowl lip, a square in the ice cream cone design, a rectangle in the bench seat, and a trapezoid in the stool opening. A par
1. The document discusses the projection of different types of solids, including polyhedrons and solids of revolution.
2. Polyhedrons include cubes, prisms, pyramids, and other shapes with plane faces, while solids of revolution are formed by rotating a plane figure around an axis and include cylinders, cones, and spheres.
3. The text provides definitions and descriptions of different solids, how they are formed, and their geometric properties, in order to understand how to represent three-dimensional solids using two-dimensional orthographic projections.
This document defines and describes various geometric shapes and figures:
1) It defines basic shapes like points, lines, planes, angles, and perpendicular and parallel lines.
2) It also defines polygons like triangles, pentagons, hexagons, squares, rectangles, trapezoids, parallelograms, and octagons.
3) More complex 3D shapes are also defined, such as circles, cylinders, spheres, triangular prisms, and rectangular pyramids.
This document provides information about polygons, including defining polygons, recognizing different types of polygons, naming polygons based on the number of sides, and determining key properties such as the number of sides, vertices, and diagonals. It also discusses sketching polygons, identifying lines of symmetry, and the geometric properties of specific polygons like triangles and quadrilaterals. Examples are provided for drawing triangles and quadrilaterals given specific measurements. Key terms are defined in a glossary at the end.
This document defines various geometric shapes and terms through examples and brief descriptions. It provides definitions for acute angles, collinear points, circles, cones, cylinders, lines, angles, points, obtuse angles, perpendicular lines, planes, prisms, pyramids, rays, parallel lines, parallelograms, rectangles, right angles, spheres, squares, triangles, vertices, line segments, and trapezoids. Examples are given to illustrate each term, such as street intersections for angles or a map for points.
This document defines and describes basic geometric shapes and terms. It explains that a point has no size, a line has two points and all points in between, and a plane is a flat surface that extends infinitely. It then defines angles, perpendicular and parallel lines, triangles, right triangles, polygons from 3 to 12 sides, squares, rectangles, trapezoids, parallelograms, circles, cylinders, spheres, arcs, and cones.
This document defines and describes basic geometry terms including:
- Geometry is the branch of mathematics concerned with shapes, their properties, and spatial relationships.
- It defines types of lines, angles, and their properties. Common line types include rays, segments, and parallel/perpendicular lines. Common angle types include acute, obtuse, right, and straight angles.
- Plane figures are two-dimensional shapes defined by points and lines on a flat surface. Common plane figures include polygons, circles, and quadrilaterals.
- Space figures are three-dimensional shapes with faces, edges, and vertices. Examples given are tessellations and symmetry in planes and space.
The document defines and describes various plane figures (two-dimensional shapes). It begins by defining what a plane figure is and then describes the key properties of circles, triangles, rectangles, rhombuses, squares, and trapezoids. For each shape, it provides the defining characteristics, such as a circle tracing a curve that is always the same distance from the center and a triangle being formed by 3 straight lines. It also classifies triangles based on their angles and sides. The document aims to teach the reader to define, identify, and draw the principal geometric plane figures.
The document defines and describes basic geometric shapes and terms including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, cubes, pyramids and cones. It provides the formal definitions for these terms and shapes as undefined or basic terms in geometry without thickness or size limitations that extend indefinitely in some cases. The project involves taking photos of these shapes in the real world during a family trip to Austria.
This document defines and describes basic geometric shapes including points, lines, planes, angles, triangles, quadrilaterals, circles, cylinders, spheres, cones, and polygons. Points have no size, lines extend forever and have no thickness, planes extend forever and have no thickness. Angles are formed by two rays with a common endpoint. Triangles, pentagons, hexagons, squares, rectangles, trapezoids, parallelograms, rhombuses, and octagons are defined as polygons with a certain number of sides and properties. Circles are sets of points equidistant from the center, cylinders have two circular bases, spheres are sets of points equidistant from the center, and con
The document defines and describes various geometric shapes used in golf, including points, line segments, planes, angles, triangles, squares, circles, spheres, cubes and more. It provides the basic definitions and properties of each shape, such as a point being a location in space, a line segment being bounded by two endpoints, a triangle consisting of three line segments linked end to end, a circle forming a closed loop with all points a fixed distance from the center, and a sphere having all points equidistant from its center.
1) The document defines various geometric shapes and provides examples of how they appear in sports. It describes points, line segments, planes, angles, perpendicular and parallel lines, triangles, right triangles, pentagons, hexagons, squares, rectangles, trapezoids, parallelograms, circles, cylinders, spheres, octagons, ovals, and cubes.
2) Examples given include a foul line in baseball being a line segment, a basketball court being a plane, the goal post forming angles, the billiards rack being a triangle, home plate being a pentagon, each section of a net being a hexagon, a court being a square, a pool being a rectangle, aerobic blocks forming
Similar to Math dictionary of geometry words [www.onlinebcs.com] (20)
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
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
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Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
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Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxEduSkills OECD
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This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Math dictionary of geometry words [www.onlinebcs.com]
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Math Dictionary of Geometry words: A-B
Acute Angle: Any angle measuring less than 90 Degrees
Acute
Triangle:
A triangle with ALL three angles being acute angles
Adjacent: Next to. You can have two building adjacent to each other.
Adjacent
Angles:
Angles that are IMMEDIATELY next to each other.
Adjacent
Sides:
Sides that are IMMEDIATELT next to each other.
Align:
When you arrange items in a straight line. You can allign edges
or even center points of shapes.
Alternate
Angles:
Angles opposite each other created by drawing one line accross
two others.
Altitude of
Shape:
The Perpendicular distance from the vertex of the shape to It's
base line.
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Angle:
The amount of rotation, in an anti clockwise direction, between
two lines intersecting. These are measured by degrees.
Angle
Bisector:
A line that divides an angle into two equal parts.
Angle of
Rotation:
The number of degrees an object is rotated around a fixed
point. Always measured in a clockwise direction.
Anti-
Clockwise:
The opposite direction to the way the hands on an analogue
clock go.
Apex:
The highest point on a two dimensional or three dimensional
shape.
Arc: A section of a curve or part of a circle.
Area:
The amount of surface a shape occupies - measured in square
units.
Asymmetry: Does not have sides exactly the same.
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Attribute:
This is a characteristic. Attributes can be color, size, shape. We
usually sort according to attributes.
Axis: These can be real or imaginary reference lines.
Axis of
Symmetry:
This is the line that diviedes symmetrical objects in half.
Base:
This can be the bottom line of a two dimensional shape or the
bottom face of a three dimensional face.
Bi-:
This is a prefix meaning 2 or twice of something. An example
is a bicycle - two wheels.
Bisect: To divide into two equal parts
Bisector:
A line, point or plane that divides something into two equal
parts
Boundary: A line around the outside edge - also known as perimeter.
Breadth:
Distance from one side of a shape to another - sometimes
referred to as width.
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Math Dictionary of Geometry words: C-D
Calculate:
Perform mathematical operations
Calculator: A device used to perform mathematical operations
Capacity: The amount a container can hold
Carroll diagram: A sorting diagram named after Lewis Carroll
Cartesian plane:
Also called the coordinate plane. Contains two perpendicular
axes - X-Axis and Y-Axis. Points are plotted taking a
position from both the x and y axis. eg (3,10)
Chord: A line segment connecting two point on a circles perimiter.
Circle:
A plane shape drawn by a line whose points are equidistant
from the centre point of the circle.
Circumference: The distance around the circle. Calculated by: C = 2.Pi.r
Clockwise: The direction the hands on an anologue clock move.
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Closed Curve: Any curve where it joins itself at its starting point.
Cointerior angles:
The inner angles on the SAME side of a line drawn through
parallel lines
Colinear: When objects are situated on the same line.
Colinear points: Three or more points that lie on the same line.
Compass
(construction):
An instrument used to create circles.
Complimentary
angle:
Two angles whose sum EQUALS 90 degrees
Concave: Curved inwards. The opposite of convex.
Concave
quadrilateral:
A quadrilateral with at least one reflex angle.
Concave
Polygon:
Any polygon with at least one reflex angle.
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Concentric
Circle:
Circles different in size, but share a center point.
Cone:
A solid shape composed of an circular or eliptical base, and
a curved surface which tapers to a vertex.
Congruent
figures:
A congruent figure has all equal sides and all equal angles.
Converging lines: Lines that all head in the direction of the same point.
Convex: Curved outwards - the opposite of concave.
Convex
Quadrilaterals:
A quadrilateral where no angles are greater than 180 degrees
(reflex)
Coordinates:
Pairs of letters or numbers indicating a points position on the
cartesian/coordinate plane. They are always indicated with
the x-axis value first, then the y-axis. eg (4,7)
Coordinate plane: Same as Cartesian Plane
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Coplanar: Geometric objects that exist on the same plane.
Corner: The points where surfaces/vertices meet.
Corresponding
angles:
Angles that have the same position created by one line
intersecting two or more parallel lines.
Counter
Clockwise:
Same as anti clockwise.
Cross Section: The face that results when a solid shape is cut.
Cube:
A solid shape whose form is created by 6 congruent squares.
Also one of the 5 Platonic Solids.
Cubic: The term used when describing a unit of volume.
Cuboid:
A right prism created by six rectangular faces. If all faces are
square it is called a cube.
Curve: A line that is NOT straight.
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Cyclic
Quadrilaterals:
A quadrilateral where a circle can be circumscribed to
contain all four vertices.
Cylinder:
A solid shape composed of two congruent circles and one
curved surface.
Deca: Prefix meaning 10
Decagon: A 10-sided polygon.
Decahedron: A Polyhedron with 10 faces.
Decrease: To make smaller in size.
Deduct: To subtract or take away.
Degree (angle): The unit which angles are measured by.
Diagonal: A line joining two NON-adjacent vertices.
Diameter:
A line connecting two points of a circle, which also includes
the centre point of the circle.
Diamond:
A plane shape with 4 equal sides and NO right angles. Also
known as a Rhombus.
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Distance: The length between two points or objects.
Divisible: Can be divided without a remainder.
Dodeca: Prefix for 12.
Dodecagon: A polygon with 12 straight edges.
Dodechedron: A Polyhedron with 12 faces.
Math Dictionary of Geometry Words: E-F
Edge: Where two surfaces intersect or join
Elipse: A oval shaped plane shape, resembling a flattened circle.
Endpoint: The point denoting the end of a line segment.
Equation:
This is a mathematical statement containing an equal’s sign
showing that two expressions have the same value.
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Equiangular: A shape that has all angles equal.
Equilateral
Triangle:
A triangle whose sides are all the same length.
Euler's formula:
For any convex Polyhedrons surface Eurlers Formula states: V
- E + F =2 where V, E, F are Vertices, edges and Faces.
Exterior angles:
The angle formed on the outside of a polygon, when one side
is extended.
Face: The flat surface of a three-dimensional shape.
Finite:
Something that can be counted. It has a definite beginning and
end. The opposite is infinite.
Flat: Having no depth.
Flip:
To 'turn over'. It is the term to describe a geometric
transformation.
Formula:
A rule, usually containing symbols (as it is true for all cases)
and describes the relationship between quantities
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Math Dictionary of Geometry Definitions: G-H
Geometry:
One of the two earliest areas of math to be studied. (The other
was numbers). It studies the shapes, solids, points, lines, rays and
curves and their relationships in space.
Graph: A drawing or diagram used to represent data.
Graph Paper:
Paper pre-printed with a specific scaled grid for ease of graph
drawing.
Half:
One of two equal parts. When an object is cut in two equal parts,
each porting is one half.
Height:
The perpendicular distance from the top of an object to the
bottom/base.
Hemisphere: A solid shape that is one half a sphere.
Hepta: Prefix meaning 7
Heptagon: A Polygon with seven sides.
Heptahedron: A Polyhedron with seven faces.
Hexa: Prefix meaning 6
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Hexagon: A polygon with six sides.
Hexahedron: A polyhedron with six faces.
Horizontal:
The opposite of vertical. In geometry - A line parallel to the x-
axis. In life - a line parallel to the horizon. In this image, the base
of the tent is Horizontal.
Hypotenuse: The longest side of a right-angled triangle.
Math Dictionary of Geometry Words: I-J
Icosa: Prefix meaning 20
Icosagon: Polygon with 20 sides.
Icosahedrons: Polyhedron with 20 faces. One of the 5 platonic solids.
Increase: To make larger in size.
Infinite: No definite end. The opposite of finite.
Infinity: Unable to be counted - it has no end.
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Interior Angles:
An angle within a polygon. Angles within two lines, when
they are crossed by a third (transversal) line.
Intersect:
Where lines cross one another. The point the lines have in
common is called the point of intersection.
Irregular:
A shape which does not have all sides equal and all angles
equal.
Isometric: To have equal dimensions or measurements.
Isometric
paper:
Paper created with dots (dot paper) or grids (grid paper) to
assist with isometric drawings.
Isosceles
triangle:
A triangle that has two sides equal in length. Its base angles
are equal.
J:
I have not come across any geometry words beginning with
the letter J
Math Dictionary of Geometry Words: K-L
Kite:
A plane shape with two sets of equal lines, and one set of equal
angles.
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>
Length: Distance from one end to another.
Line:
An infinite set of points going in opposite directions with an
angle of 180 degrees.
Line of
symmetry:
An object or shape has a line of symmetry if it can be divided
into two equal and identical parts by that line.
Line Segment: A section of a line with a beginning and end point.
Geometry Words starting with M-N
Maximum: Greatest value or amount. Highest point.
Measure:
Use of standard units to measures size or quantity. Measurement
can be made of length, area, weight (mass), volume, temperature
and time.
Measurement: The exact measure of an object or quantity.
Mono: Prefix for 1.
Nona: Prefix for 9.
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Nonagon: Polygon with 9 sides.
Numeral: Symbol used to represent a number.
Geometric Terms starting with O-P
Oblique: Lines at an angle to the x-axis.
Oblique Prism: A prism with bases not aligned directly above one another.
Obtuse angle: Any angle greater than 90 degrees and less than 180 degrees.
Obtuse Triangle: A triangle with one obtuse angle.
Octa: Prefix for 8
Octagon: An eight-sided polygon.
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Octahedron: A polyhedron with 8 faces.
Order of
rotation:
How many times an outline matches its original during one
full rotation.
Ordered Pair:
Where information is given through a pair of numbers and the
order is critical. Ordered pairs are used in coordinate
geometry to indicate a points position. (1,3) is not the same as
(3,1)
Origin:
The point of intersection of the X-axis and Y-axis on the
cartesian plane.
Parallel lines: Lines that will never intersect.
Parallelogram:
A quadrilateral with opposite sides equal in length and
parallel.
Pattern: A repetition of objects.
Penta: Prefix for 5
Pentagon: A 5-sided polygon.
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Pentahedron: A Polyhedron with 5 faces.
Perimeter: The outline of a two-dimensional shape.
Perpendicular:
Two lines that meet at 90 degrees are said to be
perpendicular.
Perpendicular
Bisector:
A line that meets a line segment at 90 degrees AND bisects it.
Pi: The ratio of a circles circumpherence to its diameter.
Plane Shape: A flat shape with only two dimensions.
Platonic Solid:
Five Regular Polyhedral made only with either equilateral
triangles, squares or pentagons.
Poly: Prefix for MANY
Polygon: A plane shape with three or more straight sides.
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Polyhedron: Three dimensional objects made with plane shapes.
Position:
Where something is when compared to an object or its
surroundings.
Prism:
Right Prism: A three-dimensional shape made of two
identical plane shapes, and all other faces are rectangles;
Oblique Prism: Made of two identical plane shapes, and all
other faces are parallelograms.
Protractor:
An instrument used in geometric construction to measure
degrees of angles.
Pyramid:
A three-dimensional shape with a polygon as its base and all
other faces congruent triangles that meet at the top (its vertex)
Pythagoras:
A Greek mathematician who lived circa 500BC. Famous for
his theorem on Right Angled Triangles.
Pythagorean
Theorem:
In a right-angled triangle, the square of the hypotenuse is
equal to the sum of the squares of the other two sides.
A Glossary of Geometry Words starting with Q-R
Quadrangle: A polygon with four angles and four sides.
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Quadrant (circle): A quarter of a circle or a circles circumpherence.
Quadrant (Cartesian
Plane):
Any quarter section of the plane made by the
intersection of the X and Y-Axes
Quadrilateral: A polygon with four sides.
Quarter: One of four equal parts.
Radius: Distance from center to circumpherence of a circle.
Ratio: A comparative value of two or more amounts.
Ray: A line with a start points but no end point.
Rectangle:
A quadrilateral with four right angles and two pairs of
parallel lines.
Rectangular prism:
A polyhedron - a prism with two identical rectangles -
also known as a cuboid.
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Reflection: A mirror images.
Reflex angle: Any angle between 180 degrees and 360 degrees.
Revolution: One complete turn through 360 degrees.
Rhombus:
A parallelogram with four equal sides and opposite
angles of equal size.
Right Angle: An angle measuring 90 degrees.
Rotation: To turn an object.
Rotational Symmetry:
If, when an object is rotated, it has the same outline as
its original shape.
Geometry Basics - Words starting with S-T
Scale: To enlarge or reduce.
Scalene Triangle: A triangle where all three sides are different in length
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Sector: A section of a circle defined by two radii and an arc.
Segment: A section of a circle defined by a chord and an arc
Semicircle: Half a circle.
Septa: Prefix for 7.
Septagon: A seven-sided septagon.
Shape: A form or outline of an object.
Side:
The line or curve on the outside of a shape that joins the
shapes vertices.
Size: How big or small something is.
Solid: A three-dimensional shape.
Solution: Answer to a problem.
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Sphere: A three dimensional solid that is perfectly round - a ball.
Square: A quadrilateral with four equal sides, and four right angles.
Straight Angle: Any angle that equals 180 degrees.
Straight Line: The shortest distance between two points.
Supplementary
angle:
Two angles whose sum is 180 degrees.
Surface:
A set of points that define a space. A surface can be flat or
curved.
Surface area: The total area of the surface of three-dimensional object.
Symmetry:
An object has symmetry when one half is a mirror image of
the other.
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Tangent: A straight line that touches a circle at only one point.
Tangram: A square cut into seven pieces.
Tessellation: Patterns created from shapes that fit together with no gaps.
Tetrahedron:
A polyhedron with four triangular faces. It is one of the 5
platonic solids.
Three-
Dimensional:
Has three dimensions - length, breadth and height.
Transformation:
A change in position or size. Can be created by, flipping,
rotating, translating or enlarging.
Translation: Move an object in any direction without rotating it.
Trapezium: Quadrilateral with no parallel sides
Tri: Prefix for 3.
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Triangle: Three-sided polygon.
Triangular prism:
A prism whose base are two identical triangles and all
other faces are rectangles.
Turn: Rotate around a fixed point.
Turning symmetry: Rotating an object about a point.
Two-Dimensional: Having only two dimensions - length and breadth.
Find your Geometry Definition - For any word starting with U-V
Unequal: Not equal.
Uniform cross
section:
When the cross section of a solid results in the same size at its
base.
Vertex: The point where sides or surfaces meet to make a corner.
Vertical:
At right angles to the horizon, or the x-axis on the Cartesian
plane. In the image, the telephone poles are vertical.
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Vertically
Opposite:
Directly opposite.
Volume:
The capacity (measured in cubic units) of a three-dimensional
object.
Find any Geometry Word starting with W-X-Y-Z
Width:
Also known as Breadth. The distance from one side to another of
a shape or object.
X-Axis: The horizontal axis of the Cartesian Plane
X-
coordinate:
The position of a point in relation to the X-Axis. It is the first
element of the ordered pair of the point.
Y-Axis: The vertical axis of the Cartesian Plane
Y-
coordinate:
The position of a point in relation to the Y-Axis. It is the second
element of the ordered pair of the point.