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

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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