NCERT Solutions Class 6 Maths Chapter 2 Lines and Angles Exercise 2.4

Geometry gives us a way to understand the world we live in, from the shapes we see every day to the angles in objects and structures. Lines and Angles is the title of the Year 6 Maths Chapter 2 where students will learn about how different lines and angles connect, measure and cover them into groups.

Exercise 2.4 from the NCERT Solutions of Class 6 Maths Chapter 2 frames real life examples of the angles made by lines when they cross: the angles that are vertically opposite one another and adjacent angles. This exercise encourages reasoning skills, is practical and allows students the opportunity to be confident in their ability to solve geometry problems that are often found in exams as well as day-to-day use in their life.

1.0Download NCERT Solutions of Class 6 Maths Chapter 2 Lines and Angles Exercise 2.4

You can download free PDF of NCERT Solutions for Class 6 Maths Chapter 2, Exercise 2.4: Points, Lines, Segments, Rays, and Angles, in order to understand and develop basic geometry concepts 

2.0Key Concepts of Exercise 2.4

• Vertically opposite angles and their properties
• Adjacent angles, and linear pairs
• Angles created from two intersecting lines
• Problem solving that involves angle calculations, knowing properties, etc.
• Logical reasoning skills through this subject matter

3.0NCERT Exercise Solutions Class 6 Chapter 2 Lines and Angles : All Exercises 

4.0NCERT Class 6 Maths Chapter 2 Exercise 2.4 : Detailed Solutions

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?

Sol. An infinite number of lines can be drawn to pass through a point in a plane. One and only one line can be drawn to pass through two points.

2. Name the line segments in figure 2.4 below. Which of the five marked points are on exactly one of the line segments? Which are on two of the line segments?

Sol. Line segments in the given figure are LM,MP,PQ, and QR .

Points on exactly one line segment

L : It is an endpoint of line segment LM .

R: It is an endpoint of line segment QR.

Points on two line segments

M : It is a point where two line segments, LM and MP , meet.

P : It is a point where two line segments, MP and PQ meet

Q : It is a point where two line segments, PQ and QR , meet.

Result: Points on one line segment: L, R

Points on two line segments: M, P, Q

3. Name the rays shown in fig. 2.5 below. Is T the starting point of each of these rays?

Sol. In the given figure, there are two rays:

Ray TA: This ray starts at point T and passes through point A , extending infinitely beyond A .

Ray TB: This ray also starts at point T and passes through point B , extending infinitely beyond B .

So yes, T is the starting point of both rays.

4. Draw a rough figure and write labels appropriately to illustrate each of the following:

(a) OP and OQ​ meet at 0 .

(b) XY and PQ​ intersect at point M .

(c) Line ℓ contains points E and F but not point D .

(d) Point P lies on AB .

Sol.

5. In Fig. 2.6, name:

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

Sol.

(a) Five points: D, E, O, C and B.

(b) A line: BD

(c) Four rays: OD,OB,OC and ED.

(d) Five line segments: DE,E0,OC,BO and DO.

6. Here is a ray OA. It starts at 0 and passes through the point

A. It also passes through the point B .

(a) Can you also name it as OB ? Why?

(b) Can we write OA as AO ? Why or why not?

Sol. (a) Yes, the ray can also be named OB because the ray OA passes through point B as well. Rays are named starting from

the initial point and passing through any other point on the ray. Since the ray starts at 0 and passes through both B and A, it can be named OB.

(b) No, we cannot write OA as AO because rays are directional. The ray starts at point 0 and extends through A, so OA indicates the direction from 0 to A. Writing it as AO would imply the ray starts at A and goes towards 0 , which is incorrect in this context because O is the starting point.

5.0Key Features and Benefits Class 6 Maths Chapter 2 Lines and Angles: Exercise 2.4

• Develop a strong understanding of geometry concepts
• Develop problem-solving skills, logical reasoning skills
• Allows students to have step-by-step solutions to understand difficult problems
• Provides real-life examples students can refer to and relate to their daily lives.
• Build students up for higher classes and competitive exams.