Understanding Elementary Shapes, Exercise 5.5

NCERT Solutions for class 6, Maths chapter 5 has basic learning concepts of various shapes. This class 6 maths exercise 5.5 is about knowledge of different types of angles related to day to day practical example. The questions in this exercise named as Understanding Elementary Shapes, Exercise 5.5 given below.    

Understanding Elementary Shapes, Exercise 5.5

Q.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.

Ans: (a) Perpendicular

(b) Not perpendicular

(c) Perpendicular

(d) Not perpendicular

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


The measure of ∠PAY is 900

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?

Ans: The measure of angles in one set square are 600, 900 and 300

The other set square has a measure of angles 450, 450 and 900

Yes, the angle of measure 900 is common in between them

Q.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.

Ans: (a) Yes, since, CE = EG = 2 units

(b) Yes. Since, CE = EG as both are of 2 units. Hence PE bisect CG

(c) are the line segments for which PE is the perpendicular bisector

(d)  True or False

(i) True. Since AC = 2 units and FG = 1 unit

∴      AC > FG

(ii) True because both are of 1 unit

(iii) True. Since, BC = 1 unit and EH = 3 units

∴           BC < EH

Chapter 5 : Understanding Elementary Shapes