GSEB Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1

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