R d sharma mathematics solutions class 6 Solutions for Chapter 17 basic geometrical tools

Construct the following angles using set-squares:

(i)45

(ii)90

(iii)60

(iv)105

(v)75

(vi)150

Given a line BC and a point A on it, constructed a ray AD using set squares so that ∠DAC is

(i)30

(ii)150

Mark two points, A and B on a piece of paper and join them. Measure this length. For each of thefollowing draw a line segment CD that is:

(i)equal to the segment AB

(ii)twice AB

(iii)three times AB

(iv)half AB

(v)collinear with AB and is equal to it.

The end point P of a line segment PQ is against 4 cm mark and the end-point Q is against the markindicating 14.8 cm on a ruler. What is the length of the segment PQ?

Draw a line segment CD. Produce it to CE such that CE = 3CD.

If AB = 7.5 cm and CD = 2.5 cm, construct a segment whose length is equal to

(i)AB – CD

(ii)2AB

(iii)3CD

(iv)AB + CD

(v)2AB + 3CD

Fill in the blanks:

(i) A part of a line with two end-points is called a ……..

(ii) Segment AB is ………. segment BA.

(iii) The length of a line segment is the ………. distance between two end points.

(iv) Two segments are concurrent only if they have ……..

(v) Two segments of the same length are said to be ……….

Match the following statements:

Column A Column B

(i)Line segment has (a)at a point

(ii)Two segments may intersect (b)if they have equal lengths

(iii)Two segments are congruent (c)two end-points

(iv)Line segment is (d)portion of a line

Tell which of the following statements are true (T) and which are false (F):

(i)The intersection of two segments may be a segment.

(ii)Two segments may intersect at a point which is not any end-point of either segments containing it.

(iii)Every ray is a segment

(iv)Every segment is a ray.

8.What is the difference between a line, a line segment and a ray?

How many rays are represented in Fig. 18.8? Name them.