Class 6 Maths Chapter 2 Lines and Angles NCERT Solutions (Complete Notes, Definitions & Step-by-Step Answers | Ganita Prakash)
Class 6 Maths Chapter 2 Lines and Angles NCERT Solutions (Complete Notes, Definitions & Step-by-Step Answers | Ganita Prakash)
Complete Explanation and Solved Questions
Introduction
Geometry helps us understand shapes, space, and position. One of the most important ideas in geometry is the concept of lines and angles.
Whenever two lines meet at a point, they form an angle. We see angles everywhere around us:
scissors
clock hands
open doors
bicycle wheels
In this chapter from Ganita Prakash (NCERT Class 6), students learn:
basic geometric terms
types of lines
angles and their parts
how to name and compare angles
Understanding these concepts will help you in higher classes as well.
Basic Terms and Definitions
1. Point
A point represents an exact location.
It has no size, length, or width.
Points are named using capital letters.
Example:
Point A, Point B, Point C
2. Line
A line is a straight path that extends infinitely in both directions.
It has no endpoints.
Example:
Line AB
3. Line Segment
A line segment is part of a line with two endpoints.
Example:
Segment AB
4. Ray
A ray starts from one point and extends infinitely in one direction.
Example:
Ray AB
A is the starting point.
Understanding Angles
An angle is formed when two rays meet at a common point.
Parts of an Angle
Vertex → common point
Arms → the two rays forming the angle
Example:
Angle ABC
Here
B = vertex
BA and BC = arms
Real Life Examples of Angles
Angles appear in many everyday objects:
scissors
ladder against wall
open book
bicycle frame
Section 2.4
Page No. 15
Figure it Out
Q.1.
Rihan marked a point on a piece of
paper. How many lines can he draw
that pass through the point?
Sheetal marked two points on a piece
of paper. How many different lines
can she draw that pass through
both of the points?
Can you help Rihan and Sheetal find their answers?
Ans. Rihan can draw many/uncountable number of lines through the given point.
Sheetal can draw only one line through the two given points.
Q.2. Name the line segments in Fig. 2.4. Which of the five marked points are on exactly
one of the line segments? Which are on two of the line segments?
Points L and R are exactly on one line segment. Points M, P and Q are on two line
segments.
Q.3. Name the rays shown in Fig. 2.5. Is T the starting point of each of these rays?
No, T is the starting point of TB, TN and TA but not of NB.
Comparing Angles
Angles can be compared in two ways:
By observation
By superimposition
Method 1: Observation
The angle that opens wider is the larger angle.
Example
If
∠A > ∠B
Then A is larger.
Method 2: Superimposition
In this method:
Draw two angles.
Place one angle on top of the other.
Align the vertices and one arm.
If the other arm overlaps exactly, the angles are equal.
Important Tips for Students
✔ Always keep the vertex in the middle while naming angles
✔ Use capital letters for points
✔ Draw diagrams neatly
✔ Practice identifying angles in daily objects
Quick Revision
A point shows position.
A line extends infinitely.
A ray has one endpoint.
An angle is formed when two rays meet.
Angles are named using three letters, with the vertex in the midConclusion
The chapter Lines and Angles builds the foundation of geometry. Once students clearly understand points, rays, and angles, they will find later topics like triangles and polygons much easier.
Regular practice of diagrams and naming angles will strengthen your concepts.
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