CBSE Class 6th Solutions, Class 6th Maths Solutions
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Detailed Solutions for NCERT Class 6th Mathematics Chapter 5 – Understanding Elementary Shapes – Exercise 5.5

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Questions and Solutions for NCERT Class 6th 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.

Ans: Perpendicular

(b) The lines of a railway track.

Ans: Not perpendicular

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

Ans: Perpendicular

(d) The letter V.

Ans: Not Perpendicular

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

Ans: ∠PAY = 90°

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: One set square has angles 90°, 45°, 45° and the other set-square has angles 30°, 60°, 90°. They have 90° angle as common angle.

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

Sol: Measure of CE = 5 – 3 = 2 units

Measure of EG = 7 – 5 = 2 units

Therefore, CE = EG

(b) Does PE bisect CG?

Sol: Measure of EG = 7 – 5 = 2 units

Measure of CE = 5 – 3 = 2 units

EG = CE and CE + EG = CG

Therefore, PE bisects CG

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

Ans: CG, DF and BH

(d) Are these true?
(i) AC > FG

Ans: True

AC = 2 units 

FG = 1 units

So, AC > FG

(ii) CD = GH

Ans: True

CD = 1 unit

GH = 1 unit

So, CD = GH

(iii) BC < EH

Ans: True

BC = 1 unit

EH = 3 units

So, BC < EH

You can find the solutions for Class 6 Mathematics previous exercises from here

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