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

- Basic Geometrical Ideas Exercise 4.4
- Basic Geometrical Ideas Exercise 4.5
- Basic Geometrical Ideas Exercise 4.6

**Exercise 4.1**

Ex 4.1 Class 6 Maths 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 }).

Ex 4.1 Class 6 Maths 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:

Ex 4.1 Class 6 Maths 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 })

Ex 4.1 Class 6 Maths 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.

Ex 4.1 Class 6 Maths 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:

Ex 4.1 Class 6 Maths 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

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