### Understanding Elementary Shapes-Solutions Ex-5.5

CBSE Class –VI Mathematics

NCERT Solutions

Chapter 5 Understanding Elementary Shapes (Ex. 5.5)

NCERT Solutions

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.

Answer: (a) Perpendicular

(b) Not perpendicular, they are parallel

(c) Perpendicular

(d) Not perpendicular

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

Answer: Sol.

PAY =

Question 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 45o,90o,45o and other set-square has 60o,90o,30o . They have 90o as common angle.

Answer: One set-square has 45o,90o,45o and other set-square has 60o,90o,30o . They have 90o as common angle.

Question 4. Study the diagram. The line is perpendicular to line

(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

(i) AC > FG

(ii) CD = GH

(iii) BC < EH

Answer: (a) Yes, both measure 2 units.

(b) Yes, because CE = EG

(c) and ,

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