Difference between revisions of "Lines and Angles : Introduction, Properties and Theorems"
(7 intermediate revisions by the same user not shown) | |||
Line 2: | Line 2: | ||
== Objectives == | == Objectives == | ||
+ | * Introducing lines, rays and line segments | ||
+ | * Understanding formation of angles and their types | ||
+ | * Differentiating parallel lines and non-parallel lines | ||
+ | * Recognizing angles, pairs of angles formed in parallel lines | ||
+ | * To visualize geometrical ideas with real life situations | ||
+ | * To enrich the academic progression | ||
+ | * To provide learning support to students who lag behind in skill development | ||
+ | * To support building of foundational skills and conceptual understanding in students | ||
== Introduction == | == Introduction == | ||
+ | You will explore the angles formed when two lines intersect each other, as well as the angles formed when a line intersects two or more parallel lines at distinct points. You will then use these properties to use deductive reasoning to prove some statements. | ||
== Basic terms and Definitions == | == Basic terms and Definitions == | ||
+ | [[What are segments, rays and lines?]] | ||
+ | |||
+ | We will learn the following concepts : Segments, rays and Lines and its symbolic representations. A part (or portion) of a line with two end points is called a line-segments. A part of a line with one end point is called a ray. A line is formed by endlessly extending the two end points in either direction. As a result, we can state that a line has no end point. | ||
+ | |||
+ | [[What are Angles?]] | ||
+ | |||
+ | An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. | ||
== Pair of Lines == | == Pair of Lines == | ||
Line 12: | Line 28: | ||
== Class 7 == | == Class 7 == | ||
− | Exercise problems and its solutions | + | |
+ | === Exercise problems and its solutions === | ||
+ | |||
+ | === Worksheets === | ||
== Class 9 == | == Class 9 == | ||
− | Exercise problems and its solutions | + | |
+ | === Exercise problems and its solutions === | ||
+ | |||
+ | === Worksheets === | ||
== Additional resources == | == Additional resources == | ||
− | Text books : Karnataka Govt Text books – [https://www.ktbs.kar.nic.in/New/index.html#!/textbook Click here] to download | + | '''Text books''' : Karnataka Govt Text books – [https://www.ktbs.kar.nic.in/New/index.html#!/textbook Click here] to download |
NCERT Text books - [https://ncert.nic.in/textbook.php?hesc1=1-18 Click here] to download | NCERT Text books - [https://ncert.nic.in/textbook.php?hesc1=1-18 Click here] to download | ||
Line 25: | Line 47: | ||
Class 9 - You can download Lines and Angles chapter by [[:File:Class 9 Lines and Angles .pdf|clicking here.]] | Class 9 - You can download Lines and Angles chapter by [[:File:Class 9 Lines and Angles .pdf|clicking here.]] | ||
+ | |||
+ | === Text resources : === | ||
+ | |||
+ | === Video resources : === |
Latest revision as of 12:16, 29 March 2022
Objectives
- Introducing lines, rays and line segments
- Understanding formation of angles and their types
- Differentiating parallel lines and non-parallel lines
- Recognizing angles, pairs of angles formed in parallel lines
- To visualize geometrical ideas with real life situations
- To enrich the academic progression
- To provide learning support to students who lag behind in skill development
- To support building of foundational skills and conceptual understanding in students
Introduction
You will explore the angles formed when two lines intersect each other, as well as the angles formed when a line intersects two or more parallel lines at distinct points. You will then use these properties to use deductive reasoning to prove some statements.
Basic terms and Definitions
What are segments, rays and lines?
We will learn the following concepts : Segments, rays and Lines and its symbolic representations. A part (or portion) of a line with two end points is called a line-segments. A part of a line with one end point is called a ray. A line is formed by endlessly extending the two end points in either direction. As a result, we can state that a line has no end point.
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Pair of Lines
Pair of Angles
Class 7
Exercise problems and its solutions
Worksheets
Class 9
Exercise problems and its solutions
Worksheets
Additional resources
Text books : Karnataka Govt Text books – Click here to download
NCERT Text books - Click here to download
Class 7 - You can download Lines and Angles chapter by clicking here.
Class 9 - You can download Lines and Angles chapter by clicking here.