Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 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: B, C, D, E and O
(b) A line is: (stackrel{leftrightarrow}{DB}) (or (stackrel{leftrightarrow}{BD}))
(c) Four rays are: (overrightarrow{mathrm{OB}}), (overrightarrow{mathrm{OC}}), (overrightarrow{mathrm{OD}}) and (overrightarrow{mathrm{OE}})
(d) Five line segments are: (overline{mathrm{OB}}), (overline{mathrm{OC}}), (overline{mathrm{OD}}), (overline{mathrm{DE}}) and (overline{mathrm{OE}}).

Question 2.
Name the line given in all possible A B C D (twelve) ways, choosing only two letters at a time from the four given.

Solution:
The given line can be named in the following ways:

Question 3.
Use the figure to name:
(a) Line containing point E.
(b) Line passing through A.
(c) Line on which O lies.
(d) Two pairs of intersecting lines.

Solution:

Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
Solution:
(a) An infinite number of lines and
(b) Only one line

Question 5.
Draw a rough figure and label suitably in each of the following cases :
(a) Point P lies on (overline{mathrm{AB}}).
(b) (stackrel{leftrightarrow}{XY}) and (stackrel{leftrightarrow}{PQ}) intersect at M.
(c) Line l contains E and F but not D.
(d) (stackrel{leftrightarrow}{OP}) and (stackrel{leftrightarrow}{OQ}) meet at O.
Solution:

Question 6.
Consider the following figure of line . 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 (stackrel{leftrightarrow}{MN}).
(b) M, O, N are points on a line segment (overline{mathrm{MN}}).
(c) M and N are endpoints of line segment (overline{mathrm{MN}}).
(d) O and N are end points of line segment (overline{mathrm{OP}}).
(e) M is one of the end points of line segment (overline{mathrm{QO}}).
(f) M is point on ray (stackrel{leftrightarrow}{QP}).
(g) Ray (stackrel{leftrightarrow}{QP}) is dijferent from ray (stackrel{leftrightarrow}{QP}).
(h) Ray (stackrel{leftrightarrow}{QP}) is same as ray (stackrel{leftrightarrow}{QP})
(i) Ray is not opposite to ray (stackrel{leftrightarrow}{QP})
(j) O is not an initial point of (stackrel{leftrightarrow}{QP}).
(k) N is the initial point of (stackrel{leftrightarrow}{NP}) and (stackrel{leftrightarrow}{NM}).
Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True