Exercise 5.5

Class 6 | Mathematics | Chapter 5|
Understanding Elementary Shapes | Exercise 5.5

1. Which of the following are models for perpendicular lines :
(a) The adjacent edges of a table top.
(b) The lines of a railway track.
(c) The line segments forming the letter ‘L’.
(d) The letter V.

Answer:

(a) Perpendicular

(b) Not perpendicular

(c) Perpendicular

(d) Not perpendicular

2. Let P̅Q̅ be the perpendicular to the line segment X̅Y̅ . Let P̅Q̅and X̅Y̅ intersect in the point A. What is the measure of ∠PAY ?

Answer :

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.

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

(b) Does PE bisect CG?
(c) Identify any two line segments for which PE is the perpendicular bisector.
(d) Are these true?
(i) AC > FG
(ii) CD = GH
(iii) BC < EH.

Answer:

(a) Yes, both measure 2 units.

(b) Yes, because CE = EG

(c) DF and CG , BH

(d) (i) True, (ii) True, (iii) True