# Mathematics Class 6 NCERT Solutions: Chapter 5 Understanding Elementary Shapes Exercise 5.5

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Q.1 which of the following are models for perpendicular lines:

(a) The adjacent edges of a table top. Answer: Perpendicular

(b) The lines of a railway track.

Answer: Not perpendicular

(c) The line segments forming the letter ‘L’.

Answer: Perpendicular

(d) The letter V.

Answer: Not perpendicular

Q.2 Let be the perpendicular to the line segment. Let and intersect in the point A. What is the measure of PAY?

Answer:

Q.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 and other set-square has and

They have 90 as common angle.

Q.4 Study the diagram. The line is perpendicular to line.

(a) Is

Answer: Yes, both measure 2 units.

(b) Does PE bisect CG?

Answer: Yes, because

(c) Identify any two line segments for which PE is the perpendicular bisector.

Answer: and ,

(d)

Ans: True

(ii)

Ans: True

(iii)

Ans: True