Ncert Solutions Chapter 5 Understanding Elementary Shapes Ex 5.5 Ncert Class 6 Maths Chapter 5 Exercise 5.5 Ncert Maths Class 6 Chapter 5 Exercise 5.5

## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5

Question 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.

Solution :

**(a)** and **(c)** are models for perpendicular lines.

Question 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 ?

Solution :

The measure of ∠PAY is 90°.

Question 3.

There are two “set-squares ” in your box. What are the measures of the angles that are formed at their comers? Do they have any angle measure that is common?

Solution :

One is a 30° – 60° – 90° set square; the other is a 45° – 45° – 90° set square. The angle of measure 90° (i.e., a right angle) is common between them.

Question 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 > EG

**(ii)** CD = GH

**(iii)** BC < EH.

Solution :

**(a)** CE= CD + DE

= 1 + 1=2 units

EG = EF + FG

= 1 + 1=2 units

∴ CE= EG

**
(b)** ∴ CE = EG

∴ E is the mid-point of CG.

∴ Line PE bisects line segment CG

**∴ DE = EF = 1 unit**

(c)

(c)

∴ PE is the perpendicular bisector of line segment DF

∴ BE = EH = 3 units

∴ PE is the perpendicular bisector of BH

**true**

(d)

(i)

(d)

(i)

**(ii)**true

**(iii)**true