**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

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