RBSE Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.5

Question 1.
Which of the following are models for perpendicular lines ?
(a) The adjacent edges of a table top.
(b) The lilies of a railway track.
(c) The line segments forming the letter ‘L'
(d) The letter V.
Answer:
(a) Yes, the adjacent edges of a table top are perpendicular to each other.
(b) No, the lines of a railway track are parallel to each other.
(c) Yes, the line segment forming the letter 'L' are perpendicular to each other.
(d) No, letter V, the sides are inclined at some acute angles.
So, (a) and (c) are models for perpendicular lines.

Question 2. 
Let \(\overline{P Q}\) be the perpendicular to the line segement \(\overline{X Y}\). Let \(\overline{P Q}\) and \(\overline{X Y}\) intersect at the point A. What is the measure of ∠PAY?
Answer:

Question 3.
There are two set squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common? 
Answer:
One set square has 45°, 90°, 45° and other set square has 60°, 90°, 30°. They have 90° as common angle.

Question 4.
Study the diagram. The line l is perpendicular to line m.
(a) Is CE = EG?

Answer:
Yes, as CE = EG = 2 units

(b) Does PE bisect CG?
Answer:
Yes, PE bisects CG since CE = EG
 
(c) Identify any two line segments for which PE is the perpendicular bisector.
Answer:
CG and BH

(d) Are these true?
(i) AC > FG
(ii) CD = GH
(iii) BC < EH
Answer:
(i) True. As length of AC and FG are of 2 emits and 1 unit respectively.
(ii) True. As both have 1 unit length.
(iii) True. As the length of BC and EH are of 1 unit respectively.