## NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

**NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1**

**Exercise 4.1**

Question 1.

Use the figure to name:

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

Solution:

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

(b) Name of the line is or .

(c) Four rays are: , , and

(d) Five line segments are:

, , , and .

Question 2.

Name the line given in all possible (twelve) ways, choosing only two letters at a times from the four given.

Solution:

The given lines can be named as follows:

Question 3.

Use the figure to name:

(a) Line containing point E.

(b) Line passing through A.

(c) Line on which 0 lies.

(d) Two pairs of intersecting lines.

Solution:

(a)

(b)

(c) or

(d) or or or

Question 4.

How many lines can pass through

(a) one given point?

(b) two given points?

Solution:

(a) Infinitely many lines can pass through a given points.

(b) Only one line can pass through two given points.

Question 5.

Draw a rough figure and label suitably in each of the following cases:

(a) Point P lies on .

(b) and intersect at M.

(c) Line L contains E and F but not D.

(d) and meet at O.

Solution:

Question 6.

Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure.

(a) Q, M, O, N, P are points on the line .

(b) M, O, N are points on a line segment .

(c) M and N are end points of line segment .

(d) O and N are end points of line segment .

(e) M is one of the end points of line segment .

(f) M is point on ray .

(g) Ray is different from ray .

(h) Ray is same as ray .

(i) Ray is not opposite to ray .

(j) O is not an initial point of .

(k) N is the initial point of and .

Solution:

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True