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

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## 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 $\overleftrightarrow { DB }$or $\overleftrightarrow { BD }$.
(c) Four rays are: $\overrightarrow { OC }$, $\overrightarrow { OB }$, $\overrightarrow { OE }$and $\overrightarrow { OD }$
(d) Five line segments are: $\overline { OE }$, $\overline { ED }$, $\overline { OD }$, $\overline { OB }$and $\overline { EB }$.

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) $\overleftrightarrow { EF }$
(b) $\overleftrightarrow { AE }$
(c) $\overleftrightarrow { BC }$or $\overleftrightarrow { BO }$
(d) $\overleftrightarrow { CO }$or $\overleftrightarrow { AE }$or $\overleftrightarrow { AE }$or $\overleftrightarrow { EF }$

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 $\overline { AB }$.
(b) $\overleftrightarrow { XY }$and $\overleftrightarrow { PQ }$intersect at M.
(c) Line L contains E and F but not D.
(d) $\overleftrightarrow { OP }$and $\overleftrightarrow { OQ }$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 $\overleftrightarrow { MN }$.
(b) M, O, N are points on a line segment $\overline { MN }$.
(c) M and N are end points of line segment $\overline { MN }$.
(d) O and N are end points of line segment $\overline { OP }$.
(e) M is one of the end points of line segment $\overline { QO }$.
(f) M is point on ray $\overrightarrow { OP }$.
(g) Ray $\overleftrightarrow { OP }$is different from ray $\overrightarrow { QP }$.
(h) Ray $\overleftrightarrow { OP }$is same as ray $\overrightarrow { OM }$.
(i) Ray $\overrightarrow { OM }$is not opposite to ray $\overleftrightarrow { OP }$.
(j) O is not an initial point of $\overleftrightarrow { OP }$.
(k) N is the initial point of $\overrightarrow { NP }$and $\overrightarrow { NM }$.
Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True