Gujarat BoardĀ 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