Lines and Angles
•Download as PPTX, PDF•
17 likes•6,558 views
here is a ppt of lines and angles class 9th you can watch it and please comment on it thanxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Report
Share
Report
Share
Recommended
Lines And Angles
This document defines and explains various geometric terms including:
- Point, line, line segment, ray
- Types of angles such as acute, obtuse, right
- Relationships between angles such as adjacent, vertical, complementary, supplementary
- Properties of angles and lines cut by a transversal, including corresponding angles, alternate angles, and interior angles
- Theorems regarding the sum of angles formed when a ray stands on a line, vertically opposite angles, parallel lines cut by a transversal, and lines parallel to the same line.
Lines and angles
LINES AND ANGLES
content:
Introduction
Basic terms and definitions
Intersecting lines and Non-intersecting lines
Perpendicular lines
Angles
Types of angles
Parallel lines
Transversal
Lines and angles class 7 mathematics
The document defines and describes various geometric angles and their relationships. It defines a line, line segment, and ray. An angle is formed by two rays sharing an endpoint called the vertex. Several types of angles are defined, including acute, right, obtuse, straight, complementary, supplementary, adjacent, linear pair, and vertically opposite angles. Acute angles measure between 0 and 90 degrees. Right angles measure 90 degrees. Obtuse angles measure between 90 and 180 degrees. Complementary and supplementary angles have sum of measures of 90 and 180 degrees respectively.
Lines and angles class 9 ppt made by hardik kapoor
This document defines and provides examples of various lines and angles. It begins by introducing lines, rays, line segments and points. It then discusses intersecting and non-intersecting lines, as well as perpendicular lines. The document defines acute, right, obtuse, straight and reflex angles. It also discusses adjacent angles, linear pairs of angles and vertically opposite angles. Finally, it covers parallel lines and transversals, defining corresponding angles, alternate interior angles, alternate exterior angles and interior angles on the same side of a transversal.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Lines and angles
This document defines and provides examples of various types of lines and angles in geometry. It begins with an introduction to lines and angles, then defines basic terms like rays, lines, and line segments. It describes different types of lines like intersecting and non-intersecting lines. It also defines various angles like acute, right, obtuse, straight, and reflex angles. Finally, it discusses parallel lines cut by a transversal and the relationships between the angles formed.
Understanding Quadrilaterals Class 8
1. The document defines and classifies different types of polygons, with a focus on quadrilaterals.
2. It describes properties of quadrilaterals including having four sides, four angles, one pair of diagonals, and the interior angle sum being 360 degrees.
3. Several specific types of quadrilaterals are defined, including rectangles, rhombus, squares, parallelograms, trapezoids, kites, and trapeziums. Their defining properties are provided.
Triangles and its properties
This document defines key properties of triangles including: vertices, bases, altitudes, medians, angles, and different types of triangles such as isosceles, equilateral, scalene, right, obtuse, acute, and equiangular triangles. It also defines Heron's formula for calculating the area of a triangle when the lengths of all three sides are known. The document was created by Shreyansh Jain and Varun Israni to explain triangle properties.
Recommended
Lines And Angles
This document defines and explains various geometric terms including:
- Point, line, line segment, ray
- Types of angles such as acute, obtuse, right
- Relationships between angles such as adjacent, vertical, complementary, supplementary
- Properties of angles and lines cut by a transversal, including corresponding angles, alternate angles, and interior angles
- Theorems regarding the sum of angles formed when a ray stands on a line, vertically opposite angles, parallel lines cut by a transversal, and lines parallel to the same line.
Lines and angles
LINES AND ANGLES
content:
Introduction
Basic terms and definitions
Intersecting lines and Non-intersecting lines
Perpendicular lines
Angles
Types of angles
Parallel lines
Transversal
Lines and angles class 7 mathematics
The document defines and describes various geometric angles and their relationships. It defines a line, line segment, and ray. An angle is formed by two rays sharing an endpoint called the vertex. Several types of angles are defined, including acute, right, obtuse, straight, complementary, supplementary, adjacent, linear pair, and vertically opposite angles. Acute angles measure between 0 and 90 degrees. Right angles measure 90 degrees. Obtuse angles measure between 90 and 180 degrees. Complementary and supplementary angles have sum of measures of 90 and 180 degrees respectively.
Lines and angles class 9 ppt made by hardik kapoor
This document defines and provides examples of various lines and angles. It begins by introducing lines, rays, line segments and points. It then discusses intersecting and non-intersecting lines, as well as perpendicular lines. The document defines acute, right, obtuse, straight and reflex angles. It also discusses adjacent angles, linear pairs of angles and vertically opposite angles. Finally, it covers parallel lines and transversals, defining corresponding angles, alternate interior angles, alternate exterior angles and interior angles on the same side of a transversal.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Lines and angles
This document defines and provides examples of various types of lines and angles in geometry. It begins with an introduction to lines and angles, then defines basic terms like rays, lines, and line segments. It describes different types of lines like intersecting and non-intersecting lines. It also defines various angles like acute, right, obtuse, straight, and reflex angles. Finally, it discusses parallel lines cut by a transversal and the relationships between the angles formed.
Understanding Quadrilaterals Class 8
1. The document defines and classifies different types of polygons, with a focus on quadrilaterals.
2. It describes properties of quadrilaterals including having four sides, four angles, one pair of diagonals, and the interior angle sum being 360 degrees.
3. Several specific types of quadrilaterals are defined, including rectangles, rhombus, squares, parallelograms, trapezoids, kites, and trapeziums. Their defining properties are provided.
Triangles and its properties
This document defines key properties of triangles including: vertices, bases, altitudes, medians, angles, and different types of triangles such as isosceles, equilateral, scalene, right, obtuse, acute, and equiangular triangles. It also defines Heron's formula for calculating the area of a triangle when the lengths of all three sides are known. The document was created by Shreyansh Jain and Varun Israni to explain triangle properties.
Physics
This document provides an agenda and information about light reflection and refraction. It begins by defining light and its nature. It then discusses the reflection of light off mirrors, including the laws of reflection and the formation of mirror images. It describes spherical mirrors and their uses. The document also covers the refraction of light, including the laws of refraction and effects like mirages. It defines lenses and discusses the refraction of light through spherical lenses and the images they form. In summary, the document outlines key concepts regarding the reflection and refraction of light off mirrors and through lenses.
Quadrilateral presentation
This document defines and provides properties and formulas for various types of quadrilaterals:
- A quadrilateral is a flat shape with four straight sides. The interior angles of any quadrilateral add up to 360 degrees.
- The main types of quadrilaterals are: parallelograms, rectangles, squares, rhombuses, trapezoids, kites. Each have specific properties like equal sides or right angles.
- Formulas are provided to calculate the area, perimeter, and diagonals of each shape using measurements of the sides, angles, heights, and diagonals. For example, the area of a rectangle is length x width, and the perimeter is 2(length +
Shapes and angle
The document defines basic geometric shapes like points, lines, line segments, rays and angles. It explains that a point has no width, length or depth, a line extends in both directions with no endpoints, and a line segment has two endpoints. An angle is formed by two rays meeting at a common endpoint. Angles are measured and can be acute, right, obtuse, straight or reflex depending on their degree measurement. The document also defines polygons as closed shapes formed by three or more line segments, and can be regular or irregular. It provides instructions on how to measure and construct an angle.
Lines and angles Class 9 _CBSE
This document defines and describes different types of lines, angles, and their relationships. It defines lines, line segments, rays, and different types of angles such as acute, obtuse, right, straight, and reflex. It also describes relationships between angles such as adjacent angles, complementary angles, supplementary angles, vertically opposite angles, corresponding angles, and alternate interior angles. Finally, it lists important axioms and theorems regarding lines and angles, such as axioms about rays on a line forming a 180 degree angle, and theorems about vertically opposite and alternate interior angles of parallel lines being equal.
Triangles
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
Lines and angles
For those who need help in PPT's for Lines and Angles and want to get good results.
Visit my website :- http://www.soumyamodakbed.blogspot.in/ for more information.
CLASS 8 LIGHT ENERGY
1. Define Refraction Of Light
2. Discussion on Examples Of Refraction
3. Describe the action of CONVEX and CONCAVE mirror
4. Define the terms related to SPHERICAL mirrors
5. Describes the rules for making ray diagrams for SPHERICAL mirror
6. Distinguish between REAL and VIRTUAL image
7. Image formation using CONCAVE and CONVEX mirror.
8. Refraction Prisms: Dispersion Of Light
9. Uses Of CONCAVE and CONVEX mirror
Lines and angles For Class 7, 8, 9
This document defines and explains various angle types and angle relationships. It contains:
1) Definitions of basic angle terms like ray, line, line segment, intersecting lines, non-intersecting lines, and types of angles like acute, right, obtuse, straight, reflex, adjacent, and vertically opposite.
2) Discussions of angle relationships formed by parallel lines cut by a transversal, including corresponding angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of the transversal.
3) Explanations of exterior angles of triangles and proofs related to exterior angles, vertically opposite angles, and alternate interior angles.
Triangles and their properties
This document discusses properties of triangles, including classifications based on sides (equilateral, isosceles, scalene) and angles (acute). It outlines key properties such as: the sum of interior angles is 180 degrees; the exterior angle is equal to the sum of the two non-adjacent interior angles; and the triangle inequality stating the sum of any two sides must be greater than the third side. Congruence of triangles is also discussed, noting triangles are congruent when corresponding sides and angles are equal, and can be proven using ASA, SAS, or SSS criteria.
Circles IX
Vaibhav Goel presented on circles and their properties. The presentation included definitions of key circle terms like radius, diameter, chord, and arc. It also proved several theorems: equal chords subtend equal angles at the center; a perpendicular from the center bisects a chord; there is one circle through three non-collinear points; equal chords are equidistant from the center; congruent arcs subtend equal angles; and the angle an arc subtends at the center is double that at any other point. The presentation concluded that angles in the same segment are equal and cyclic quadrilaterals have opposite angles summing to 180 degrees.
Surface area and volume for class 9
The document expresses gratitude to a teacher for the opportunity to complete a project that helped the student learn new things about surface area and volume. It defines surface area as the total area of faces and curved surfaces of solids like cubes and cylinders, and volume as the amount of space inside solids like cubes and spheres, with units always being cubic. It also provides formulas for calculating the surface areas of spheres, cylinders, and cones and the volumes of cubes, spheres, cylinders, and cones.
TYPE OF ANGLES
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
Light PPT For Class 7 & 8 CBSE
In this ppt you will study about light. for Ex what is light and many more thing specially for class seventh and eights CBSE .
Triangle Class-9th
This document discusses triangles and congruence. It defines a triangle as a closed figure with three intersecting lines and as having three sides, three angles, and three vertices. It then explains the meaning of congruence as equal in all respects and introduces three rules for determining if triangles are congruent: the Side-Angle-Side rule, the Angle-Side-Angle rule, and the Angle-Angle-Side rule. The document concludes with assigning homework questions involving congruent triangles.
Surface areas and volume
This document is a maths project that discusses different solid figures including their surface areas and volumes. It provides formulas and explanations for calculating the surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each solid figure, it defines the shape, provides relevant diagrams, and derives the formulas for their lateral surface areas, total surface areas, and volumes.
properties of triangles
A triangle is a simple closed shape with three sides and three angles. Triangles can be categorized based on side length as scalene (all sides unequal), isosceles (two sides equal), or equilateral (all three sides equal). They can also be categorized based on angle measures as acute (all angles less than 90 degrees), right (one angle is 90 degrees), or obtuse (one angle greater than 90 degrees). Key properties of triangles include that the three interior angles sum to 180 degrees and that the longest side has the largest opposite interior angle.
Surface areas and volumes
This document defines and provides information about common 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It describes their key properties such as the number of faces, edges, and vertices. It also provides formulas to calculate the surface area and volume of each shape.
Rotational Symmetry
The document discusses rotational symmetry, which is when a shape looks the same after being rotated. It provides examples of shapes with different orders of rotational symmetry, such as a square having order 4 symmetry. Road signs and letters of the alphabet are used to demonstrate rotational symmetry. Pentominoes and 7-pin polygons are introduced and examples are given of shapes with different rotational symmetry orders to sort.
08. Winds, Storms and Cyclone by Dilip Kumar Chandra
Air is a mixture of gases that exerts pressure in all directions. Uneven heating of the Earth's surface causes wind currents as warm air rises and is replaced by cooler air. Convection currents occur due to rising warm air and sinking cool air and help distribute the Sun's heat globally. Thunderstorms develop from strong upward winds carrying water droplets that freeze and fall as rain or hail, along with changes in air pressure. Cyclones form due to these pressure changes and can cause severe damage to life and property from high winds. Effective safety measures include early warning systems, shelters, and preparing necessary supplies.
6. 10. lightreflectionandrefraction
This document provides information about light reflection and refraction. It discusses the laws of reflection and refraction, and how light behaves when interacting with spherical mirrors and lenses. Key points covered include:
- The law of reflection states that the angle of incidence equals the angle of reflection.
- Reflection and refraction of light can be used to form real or virtual images with mirrors and lenses.
- Spherical mirrors and lenses have a focal point where light rays converge or appear to diverge, depending on whether the surface is convex or concave.
- Mirror and lens formulas relate the focal length to the object and image distances.
Lines and angles presentation
This document defines and describes different types of lines and angles. It explains that lines can be rays, segments, parallel, or perpendicular and defines each type. Lines extend in opposite directions and are made up of points. The document also defines right, obtuse, and acute angles and explains their degree measurements. It includes questions to check the reader's understanding of lines and angles.
lines and angles
This document discusses various geometry concepts related to angles and lines including:
- Types of angles such as acute, obtuse, straight, and reflex angles
- Relationships between pairs of angles such as complementary, supplementary, vertical, corresponding, alternate interior, and alternate exterior angles
- Properties of lines such as intersecting lines, parallel lines, and transversals
- Angle theorems about parallel lines cut by a transversal and the angle sums of triangles
More Related Content
What's hot
Physics
This document provides an agenda and information about light reflection and refraction. It begins by defining light and its nature. It then discusses the reflection of light off mirrors, including the laws of reflection and the formation of mirror images. It describes spherical mirrors and their uses. The document also covers the refraction of light, including the laws of refraction and effects like mirages. It defines lenses and discusses the refraction of light through spherical lenses and the images they form. In summary, the document outlines key concepts regarding the reflection and refraction of light off mirrors and through lenses.
Quadrilateral presentation
This document defines and provides properties and formulas for various types of quadrilaterals:
- A quadrilateral is a flat shape with four straight sides. The interior angles of any quadrilateral add up to 360 degrees.
- The main types of quadrilaterals are: parallelograms, rectangles, squares, rhombuses, trapezoids, kites. Each have specific properties like equal sides or right angles.
- Formulas are provided to calculate the area, perimeter, and diagonals of each shape using measurements of the sides, angles, heights, and diagonals. For example, the area of a rectangle is length x width, and the perimeter is 2(length +
Shapes and angle
The document defines basic geometric shapes like points, lines, line segments, rays and angles. It explains that a point has no width, length or depth, a line extends in both directions with no endpoints, and a line segment has two endpoints. An angle is formed by two rays meeting at a common endpoint. Angles are measured and can be acute, right, obtuse, straight or reflex depending on their degree measurement. The document also defines polygons as closed shapes formed by three or more line segments, and can be regular or irregular. It provides instructions on how to measure and construct an angle.
Lines and angles Class 9 _CBSE
This document defines and describes different types of lines, angles, and their relationships. It defines lines, line segments, rays, and different types of angles such as acute, obtuse, right, straight, and reflex. It also describes relationships between angles such as adjacent angles, complementary angles, supplementary angles, vertically opposite angles, corresponding angles, and alternate interior angles. Finally, it lists important axioms and theorems regarding lines and angles, such as axioms about rays on a line forming a 180 degree angle, and theorems about vertically opposite and alternate interior angles of parallel lines being equal.
Triangles
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
Lines and angles
For those who need help in PPT's for Lines and Angles and want to get good results.
Visit my website :- http://www.soumyamodakbed.blogspot.in/ for more information.
CLASS 8 LIGHT ENERGY
1. Define Refraction Of Light
2. Discussion on Examples Of Refraction
3. Describe the action of CONVEX and CONCAVE mirror
4. Define the terms related to SPHERICAL mirrors
5. Describes the rules for making ray diagrams for SPHERICAL mirror
6. Distinguish between REAL and VIRTUAL image
7. Image formation using CONCAVE and CONVEX mirror.
8. Refraction Prisms: Dispersion Of Light
9. Uses Of CONCAVE and CONVEX mirror
Lines and angles For Class 7, 8, 9
This document defines and explains various angle types and angle relationships. It contains:
1) Definitions of basic angle terms like ray, line, line segment, intersecting lines, non-intersecting lines, and types of angles like acute, right, obtuse, straight, reflex, adjacent, and vertically opposite.
2) Discussions of angle relationships formed by parallel lines cut by a transversal, including corresponding angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of the transversal.
3) Explanations of exterior angles of triangles and proofs related to exterior angles, vertically opposite angles, and alternate interior angles.
Triangles and their properties
This document discusses properties of triangles, including classifications based on sides (equilateral, isosceles, scalene) and angles (acute). It outlines key properties such as: the sum of interior angles is 180 degrees; the exterior angle is equal to the sum of the two non-adjacent interior angles; and the triangle inequality stating the sum of any two sides must be greater than the third side. Congruence of triangles is also discussed, noting triangles are congruent when corresponding sides and angles are equal, and can be proven using ASA, SAS, or SSS criteria.
Circles IX
Vaibhav Goel presented on circles and their properties. The presentation included definitions of key circle terms like radius, diameter, chord, and arc. It also proved several theorems: equal chords subtend equal angles at the center; a perpendicular from the center bisects a chord; there is one circle through three non-collinear points; equal chords are equidistant from the center; congruent arcs subtend equal angles; and the angle an arc subtends at the center is double that at any other point. The presentation concluded that angles in the same segment are equal and cyclic quadrilaterals have opposite angles summing to 180 degrees.
Surface area and volume for class 9
The document expresses gratitude to a teacher for the opportunity to complete a project that helped the student learn new things about surface area and volume. It defines surface area as the total area of faces and curved surfaces of solids like cubes and cylinders, and volume as the amount of space inside solids like cubes and spheres, with units always being cubic. It also provides formulas for calculating the surface areas of spheres, cylinders, and cones and the volumes of cubes, spheres, cylinders, and cones.
TYPE OF ANGLES
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
Light PPT For Class 7 & 8 CBSE
In this ppt you will study about light. for Ex what is light and many more thing specially for class seventh and eights CBSE .
Triangle Class-9th
This document discusses triangles and congruence. It defines a triangle as a closed figure with three intersecting lines and as having three sides, three angles, and three vertices. It then explains the meaning of congruence as equal in all respects and introduces three rules for determining if triangles are congruent: the Side-Angle-Side rule, the Angle-Side-Angle rule, and the Angle-Angle-Side rule. The document concludes with assigning homework questions involving congruent triangles.
Surface areas and volume
This document is a maths project that discusses different solid figures including their surface areas and volumes. It provides formulas and explanations for calculating the surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each solid figure, it defines the shape, provides relevant diagrams, and derives the formulas for their lateral surface areas, total surface areas, and volumes.
properties of triangles
A triangle is a simple closed shape with three sides and three angles. Triangles can be categorized based on side length as scalene (all sides unequal), isosceles (two sides equal), or equilateral (all three sides equal). They can also be categorized based on angle measures as acute (all angles less than 90 degrees), right (one angle is 90 degrees), or obtuse (one angle greater than 90 degrees). Key properties of triangles include that the three interior angles sum to 180 degrees and that the longest side has the largest opposite interior angle.
Surface areas and volumes
This document defines and provides information about common 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It describes their key properties such as the number of faces, edges, and vertices. It also provides formulas to calculate the surface area and volume of each shape.
Rotational Symmetry
The document discusses rotational symmetry, which is when a shape looks the same after being rotated. It provides examples of shapes with different orders of rotational symmetry, such as a square having order 4 symmetry. Road signs and letters of the alphabet are used to demonstrate rotational symmetry. Pentominoes and 7-pin polygons are introduced and examples are given of shapes with different rotational symmetry orders to sort.
08. Winds, Storms and Cyclone by Dilip Kumar Chandra
Air is a mixture of gases that exerts pressure in all directions. Uneven heating of the Earth's surface causes wind currents as warm air rises and is replaced by cooler air. Convection currents occur due to rising warm air and sinking cool air and help distribute the Sun's heat globally. Thunderstorms develop from strong upward winds carrying water droplets that freeze and fall as rain or hail, along with changes in air pressure. Cyclones form due to these pressure changes and can cause severe damage to life and property from high winds. Effective safety measures include early warning systems, shelters, and preparing necessary supplies.
6. 10. lightreflectionandrefraction
This document provides information about light reflection and refraction. It discusses the laws of reflection and refraction, and how light behaves when interacting with spherical mirrors and lenses. Key points covered include:
- The law of reflection states that the angle of incidence equals the angle of reflection.
- Reflection and refraction of light can be used to form real or virtual images with mirrors and lenses.
- Spherical mirrors and lenses have a focal point where light rays converge or appear to diverge, depending on whether the surface is convex or concave.
- Mirror and lens formulas relate the focal length to the object and image distances.
What's hot (20)
08. Winds, Storms and Cyclone by Dilip Kumar Chandra
08. Winds, Storms and Cyclone by Dilip Kumar Chandra
Viewers also liked
Lines and angles presentation
This document defines and describes different types of lines and angles. It explains that lines can be rays, segments, parallel, or perpendicular and defines each type. Lines extend in opposite directions and are made up of points. The document also defines right, obtuse, and acute angles and explains their degree measurements. It includes questions to check the reader's understanding of lines and angles.
lines and angles
This document discusses various geometry concepts related to angles and lines including:
- Types of angles such as acute, obtuse, straight, and reflex angles
- Relationships between pairs of angles such as complementary, supplementary, vertical, corresponding, alternate interior, and alternate exterior angles
- Properties of lines such as intersecting lines, parallel lines, and transversals
- Angle theorems about parallel lines cut by a transversal and the angle sums of triangles
Geometry Vocabulary
This document defines and describes basic geometric terms including:
- Point: a location in space represented by a dot
- Line: a row of points that extends indefinitely in both directions
- Line segment: a piece of a line with two distinct endpoints
- Angle: the figure formed by two rays that share a common endpoint
- Parallel and intersecting lines: lines that never or do intersect
- Types of angles: acute, right, obtuse, and straight angles
- Perpendicular and complementary/supplementary angles
- Congruent and similar figures based on their shape and size relationships.
Parallel lines cut_by_a_transversalpptp
This document defines key terms related to parallel lines cut by a transversal including parallel, transversal, angle, vertical angle, corresponding angle, alternate interior angle, and alternate exterior angle. It provides examples of parallel lines cut by a transversal and identifies pairs of angles that are supplementary, vertical, corresponding, and alternate interior. It gives examples of problems identifying angle relationships and setting up and solving equations based on those relationships. Supplementary angles add to 180 degrees, corresponding angles are equal and in the same position relative to the parallel lines, and alternate interior angles are equal and on the inside of the parallel lines on opposite sides of the transversal.
하이드러 2화 샘플_곰툰
This document appears to be a copyright notice for 9PIXELZ stating that all rights are reserved. It does not contain any other substantive information beyond asserting the copyright.
ハーバード社会起業大会スタディプログラム2016 名古屋説明会 (2015.12.19)
「ハーバード社会起業大会スタディプログラム2016」名古屋説明会を2015.12.19.にSharebase.InCにて開催しました。同日のスライド資料をアップします。
本スタディプログラムについては http://www.worldstudy.jp/2016-1/ をご覧ください。
ハーバード社会起業大会スタディプログラム2016 大阪説明会 (2015.12.20)
「ハーバード社会起業大会スタディプログラム2016」大阪説明会を2015.12.20.に大阪NPOセンター会議室にて開催しました。同日のスライド資料をアップします。
本スタディプログラムについては http://www.worldstudy.jp/2016-1/ をご覧ください。
ハーバード社会起業大会スタディプログラム2015 ReadyForご支援者向け帰国報告会プレゼン資料 2015/4/29
ハーバード社会起業大会スタディプログラム2015の帰国報告会をReadyFor?ご支援者向けに2015/4/29に都内で開催しました。
その時のスライド資料をシェアします。
今後の最新情報は、以下のチェックを頂けましたら幸いです。
https://www.facebook.com/worldstudy
MHP Investor Deck 3-24-15
This document summarizes an online platform for property managers that provides technology services to residents. It has over 20,000 units live with active accounts generating $0.40 per unit in revenue. The company's market includes over 160 million US residents in rentals, condos, and co-ops representing a $5 billion addressable market served by over 12,000 property managers. The founding team is seeking a $1.25 million investment to continue scaling operations and marketing.
ハーバード社会起業大会スタディプログラム2016 最終説明会 (2016.1.13)
「ハーバード社会起業大会スタディプログラム2016」最終説明会を2016.1.13.に株式会社H.I.S.新宿本社にて開催しました。同日のスライド資料をアップします。
本スタディプログラムについては http://www.worldstudy.jp/2016-1/ をご覧ください。
ハーバード社会起業大会2016 大会チケット購入方法 日本語マニュアル
【速報】 ハーバード社会起業大会2016の大会チケット販売サイトが、12/2に一般公開されました。
http://socialenterpriseconference.org/attend/
例年は大会の1ヶ月前くらいに売り切れますが、毎年状況は変わっています。2016年は残席社会人学生とも12/4時点で約180です。
できるだけお早めにチケット購入をお願いします。
そして、下記にて「ハーバード社会起業大会スタディプログラム2016」を募集開始しました。
http://www.his-j.com/kanto/corp/group/inspection/harvard_study/
ハーバード社会起業大会2015 大会チケット購入方法 日本語マニュアル
【速報】 ハーバード社会起業大会2015の大会チケット販売サイトが、今一般公開されました。
例年は大会の1ヶ月前くらいに売り切れますが、毎年状況は変わっています。
できるだけお早めにチケット購入をお願いします。
http://www.eventbrite.com/e/2015-social-enterprise-conference-tickets-10360200639
Proposal
The document discusses creating promotional materials for a campaign to encourage people to discuss important issues. It aims to use philosophical questions and theories as a starting point. Several thought experiments are presented involving sacrificing one person to save multiple people. The document also includes an outline for the campaign planning which involves researching awareness campaigns, developing questions from philosophical texts and questionnaires, deciding on issues or philosophy to focus on, designing promotional materials, and evaluating the final campaign.
Viewers also liked (20)
ハーバード社会起業大会スタディプログラム2015 ReadyForご支援者向け帰国報告会プレゼン資料 2015/4/29
ハーバード社会起業大会スタディプログラム2015 ReadyForご支援者向け帰国報告会プレゼン資料 2015/4/29
Similar to Lines and Angles
linesandangles-111014002441-phpapp02-150823071910-lva1-app6892 (1).pptx
This document defines and provides examples of various lines and angles. It begins by introducing lines, points, and the definition of an angle. It then discusses different types of lines like intersecting, non-intersecting, and perpendicular lines. The document also defines and gives examples of various angles like acute, right, obtuse, straight, and reflex angles. Finally, it covers parallel lines and transversals, defining terms like corresponding angles, alternate interior angles, and interior angles on the same side of a transversal.
Lines and angles
This document defines and provides examples of various types of lines and angles that are important concepts in geometry. It begins with an introduction to lines and angles, then defines key terms like points, intersecting and non-intersecting lines, perpendicular lines, and the different types of angles such as acute, right, obtuse, straight, and reflex angles. It also discusses parallel lines cut by a transversal and the relationships between the corresponding, alternate interior, alternate exterior, and interior angles formed. The purpose is to introduce students to the basic terms and concepts relating to lines and angles used in geometry.
Lines and angles
This document defines and provides examples of various types of lines and angles in geometry. It begins with defining basic terms like points, lines, line segments, rays, intersecting and non-intersecting lines. It then defines different types of angles like acute, right, obtuse, straight, reflex, adjacent and vertically opposite angles. Finally, it discusses parallel lines and the angles formed when lines are cut by a transversal, including corresponding angles, alternate interior angles, and interior angles on the same side of the transversal.
Jjj
This document defines and describes various lines and angles that are important concepts in geometry. It defines basic terms like rays, lines, line segments, intersecting and non-intersecting lines. It also defines and provides examples of different types of angles like acute angles, right angles, obtuse angles, and their properties in relation to parallel and intersecting lines. Key angle relationships that are discussed include corresponding angles, alternate interior angles, alternate exterior angles, and interior angles formed by a transversal cutting parallel lines.
Linesandangles 111014002441-phpapp02
This document defines and provides examples of various lines and angles. It begins by introducing lines and angles, noting they are important tools in geometry. It then defines basic terms like rays, lines, and line segments. It describes different types of lines like intersecting and non-intersecting lines. It also defines various angles like acute, right, obtuse, straight, and reflex angles. It provides examples of each. Finally, it discusses parallel lines cut by a transversal and the related angles formed, such as corresponding, alternate interior, and alternate exterior angles.
LINES AND ANGLE PPT
This document defines and provides examples of various types of angles and lines. It begins with an introduction to lines and angles. It then defines basic terms like rays, lines, and line segments. It discusses intersecting and non-intersecting lines. It also defines and provides examples of perpendicular lines, acute angles, right angles, obtuse angles, straight angles, reflex angles, and adjacent angles. The document concludes by acknowledging the teacher for providing the opportunity to research and learn about lines and angles.
Lines & angles
This document defines and provides examples of lines, angles, and the relationships between them. It explains that two points are needed to draw a line, which can be a line segment or ray. Lines can intersect or be parallel. Angles are formed by two rays with a common endpoint, and types of angles include acute, obtuse, right, straight, and reflex. The document also defines complementary angles, supplementary angles, adjacent angles, corresponding angles, vertical opposite angles, alternate interior angles, and alternate exterior angles.
Vocab lessons 7 1 through 7-5
- A point is named by a capital letter. A line is named by two points on the line. A plane is named by three non-collinear points.
- A line segment is named by its two endpoints. A ray has one endpoint and extends without end in one direction. An angle is named using the vertex in the middle and the two rays.
- Angles are measured and can be acute, right, or obtuse. A protractor is used to measure angles. Vertical angles, adjacent angles, complementary angles, and supplementary angles are special angle relationships.
Self learning material maths
This document defines various terms related to lines and angles, including: line, line segment, ray, collinear points, angle, acute angle, right angle, obtuse angle, straight angle, reflex angle, adjacent angles, linear pair of angles, vertically opposite angles, complementary angles, supplementary angles, intersecting lines, parallel lines, and transversal. It also provides examples of how angles are related when lines intersect or are parallel, such as corresponding angles being equal. Finally, it presents four questions related to lines and angles.
lines and angles
This document defines and describes various geometric shapes and their properties. It defines line segments, rays, collinear points, and different types of angles such as acute, right, obtuse, straight, and reflex angles. It also defines complementary and supplementary angles. Additionally, it describes properties related to lines such as adjacent angles, linear pairs of angles, vertically opposite angles, corresponding angles formed by a transversal, alternate interior and exterior angles, parallel lines, intersecting lines, and perpendicular lines.
Angles.pptx
An angle is formed by two rays sharing a common endpoint called the vertex. An angle can be measured in degrees and named using symbols to indicate the vertex point and/or side points. There are several types of angles including acute (less than 90 degrees), obtuse (between 90 and 180 degrees), right (90 degrees), straight (180 degrees), and reflex (greater than 180 degrees). Angles can also be classified based on their relationship to each other, such as complementary angles whose measures sum to 90 degrees, or supplementary angles that sum to 180 degrees.
presentation_lines_and_angles_1_(1)_1525158027_21702.pptx
This document defines and describes different types of lines and angles in geometry. It begins by defining a line, line segment, and ray. It then discusses intersecting and non-intersecting lines, as well as parallel and perpendicular lines. The document defines an angle as the figure formed by two rays sharing an endpoint. It proceeds to describe different types of angles such as acute, obtuse, right, straight, and reflex angles. Adjacent, linear pairs of, complementary, and supplementary angles are also defined. Examples are provided to illustrate each term.
Lines n Angles
This document defines and provides examples of various geometric terms:
- Lines can be line segments (with two endpoints) or rays (with one endpoint extending in one direction). Intersecting lines cross, while parallel lines never cross and remain the same distance apart.
- Perpendicular lines intersect to form four right angles. Angles can be right (90 degrees), acute (<90 degrees), or obtuse (>90 degrees).
- Complementary angles sum to 90 degrees. Supplementary angles sum to 180 degrees.
- Vertical opposite angles formed by intersecting lines are always equal. Adjacent angles share a common vertex and one common side but have arms on opposite sides of that common side.
lines and angles.pdf
This document defines and describes different types of lines, rays, angles, and line segments. It states that a line extends infinitely in both directions and has no endpoints, a ray starts from a fixed point and extends in one direction, and a line segment is a portion of a line between two defined points. An angle is formed when two line segments meet at a single point, called the vertex, and angles can be acute (<90 degrees), obtuse (>90 degrees), right (90 degrees), straight (180 degrees), reflex (>180 degrees but <270 degrees), or full (360 degrees).
angles ppt.ppt
This document defines and describes different types of angles. It explains that an angle is formed by two rays with a common endpoint called the vertex. The main types of angles are right, acute, obtuse, and straight angles, measured in degrees using a protractor. Examples of each angle type are given along with their definitions and measures.
IX Lines and Angles
This document defines and provides examples of different types of angles and lines. It discusses intersecting and non-intersecting lines, reflex angles, adjacent angles, linear pairs of angles, vertically opposite angles, parallel lines cut by a transversal, corresponding angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of a transversal. The key points are that non-intersecting lines never cross and remain the same distance apart, a reflex angle is more than 180 degrees but less than 360 degrees, and angles related to parallel lines cut by a transversal are either equal or have their sums equal 180 degrees.
Math angles by ruby
This document defines and classifies different types of angles, including acute, obtuse, right, straight, reflex, and complete angles. It describes how to measure angles using a protractor. Complementary angles and supplementary angles are defined as pairs of angles that sum to 90 and 180 degrees, respectively. Vertically opposite angles and corresponding angles formed by parallel lines crossed by a transversal are introduced. The relationships between interior angles, exterior angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of a transversal are also summarized.
Basic geometric terms
This document defines basic geometric terms including points, lines, line segments, rays, angles, planes, and relationships between lines and angles. It provides definitions and examples of each term. Points have no dimensions, lines extend infinitely in both directions, line segments have two endpoints, rays have one endpoint, angles are formed by two intersecting rays and their vertex, planes extend infinitely, and relationships between lines include intersecting, parallel and perpendicular. Angle relationships include complementary, supplementary and vertical angles.
Lines, Angles and Triangles
Lines can be straight, curved, or a combination. A line has length but no width or thickness. An angle is formed by two rays with a common endpoint. There are different types of angles including acute, right, obtuse, straight, and reflex angles. A triangle is a three-sided polygon. Triangles can be categorized based on side length as scalene, isosceles, or equilateral triangles, and based on angles as right, obtuse, or acute triangles. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Similar to Lines and Angles (20)
linesandangles-111014002441-phpapp02-150823071910-lva1-app6892 (1).pptx
linesandangles-111014002441-phpapp02-150823071910-lva1-app6892 (1).pptx
presentation_lines_and_angles_1_(1)_1525158027_21702.pptx
presentation_lines_and_angles_1_(1)_1525158027_21702.pptx
Drawing Lessons and Plates for Industrial Drawings
Drawing Lessons and Plates for Industrial Drawings
More from Agraj Garg
Respiratory System
The document discusses respiration in humans and other organisms. It defines respiration as the process of inhaling and exhaling air to obtain oxygen and eliminate carbon dioxide, and explains that it provides energy from food. It describes the different types of respiration including aerobic, anaerobic in yeast, and anaerobic in human muscles. It then outlines the major organs that make up the human respiratory system, including the nasal cavity, pharynx, larynx, trachea, bronchi, bronchioles, alveoli, diaphragm and lungs. It explains how respiration works through the process of gas exchange that occurs in the alveoli and capillaries of the lungs. It briefly discusses respiration in earthworms
Julius Caesar
William Shakespeare is considered the greatest dramatist in the world. His play Julius Caesar tells the story of the assassination of Julius Caesar by his friend Brutus and other conspirators who feared Caesar wanted to become king. The play shows Brutus' personal dilemma over killing his friend for what he sees as the good of Rome. After Caesar's death, his friend Mark Antony is able to turn the crowd against the conspirators with a clever speech at Caesar's funeral.
The seven ages
this is a ppt on seven ages written by william shakespeare plz plz plz watch, like and comment on it tnx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Evolutions of computing
This document summarizes the five generations of computing. The first generation used vacuum tubes and were very large, expensive, and unreliable. The second generation introduced transistors, making computers faster, more reliable, and requiring less power. The third generation used integrated circuits, further reducing size and improving speed and reliability. The fourth generation used very large scale integrated circuits and introduced powerful languages. The fifth generation introduced even greater storage capacity and processing speed and less heat generation.
Three men in a boat [character sketches]
The document provides character sketches of the four main characters in the story "Three Men in a Boat":
1) Jim is the hypochondriac narrator who loves nature but hates sea voyages. He is vain but also poetic and enjoys philosophical musings.
2) Harris is practical but lazy. He likes to drink and argues but becomes polite after eating.
3) George also loves to rest and avoids work. He snores and creates messes but becomes calm after supper.
4) Montmorency the dog accompanies the men. He does not like being alone and enjoys action and noise.
Motion
The document discusses different concepts related to motion including:
- The two states of an object being rest and motion.
- Scalar and vector quantities, with examples like distance, speed, and displacement being scalar, and velocity and acceleration being vector.
- The differences between distance, displacement, speed, and velocity.
- Uniform accelerated motion and the equations relating variables like velocity, displacement, acceleration, and time.
- Distance-time and velocity-time graphs and how they relate to changes in speed and displacement over time.
- Uniform circular motion and the relationship between speed, radius, and time for circular paths.
More from Agraj Garg (6)
Recently uploaded
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
How to Setup Warehouse & Location in Odoo 17 Inventory
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
Recently uploaded (20)
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Lines and Angles
- 1. Lines And Angles By Agraj Garg Class :- IX – D Roll Number :- 3
- 2. Angles in daily life If we look around us, we will see angles everywhere.
- 3. Terms And Definition RAY: A part of a line, with one endpoint, that continues without end in one direction. LINE: A straight path extending in both directions with no endpoints. LINE SEGMENT: A part of a line that includes two points, called endpoints.
- 4. Intersecting Lines And Non Intersecting Lines Intersecting Lines : Lines that have one and only one point in common are known as intersecting lines Non Intersecting lines : Lines that never cross and are always the same distance apart.
- 5. Perpendicular lines Two lines that intersect to form four right angles.
- 6. Angles 1. Acute Angle 9. Corresponding Angles 2. Right Angle 10. Alternate Interior Angle 3. Obtuse Angle 11. Alternate Exterior Angle 4. Straight angle 5. Reflex Angle 6. Adjacent Angles 7. Linear Pair Of Angles 8. Vertically Opposite Angles Angles are formed by two rays that begin at the same point or share the same endpoint. The angle measures the amount of turn between the two arms and is usually measured in degrees or radians. Where the two rays intersect (come together to meet) is called the vertex. The two rays are sometimes referred to as the arms.
- 7. Acute Angles The angle with a measure between 0° and 90°
- 8. Right angle An angle formed by the perpendicular intersection of two straight lines; an angle of 90°.
- 9. Obtuse Angle Angle measures greater than 90 degrees but less than 180 degrees.
- 10. Straight Angle A straight angle changes the direction to point the opposite way. It looks like a straight line. It measures 180° (half a revolution, or two right angles)
- 11. Reflex Angle A Reflex Angle is more than 180° but less than 360°
- 12. Adjacent Angles Two angles are Adjacent if they have a common side and a common vertex (corner point), and don't overlap.
- 13. Linear Pair Of Angles A pair of adjacent angles formed by intersecting lines. Linear pairs of angles are supplementary.
- 14. Vertically opposite Angle Vertical Angles are the angles opposite each other when two lines cross.
- 15. Corresponding Angles When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
- 16. Alternate Interior Angle When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.
- 17. Alternate Exterior Angle When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
- 18. Parallel Lines And Transversal Transversal :- A line that intersects two or more lines Parallel Lines :- Parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.
- 19. Thank You