Haryana State Board HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.5 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Exercise 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 U.

(d) The letter C.

Solution:

(a) The adjacent edges of a table and

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

Question 2.

Let \(\overline{\mathrm{PQ}}\) be the perpendicular to the line segment \(\overline{\mathrm{XY}}\). Let \(\overline{\mathrm{PQ}}\) and \(\overline{\mathrm{XY}}\) intersect in the point A.

(a) How is the point A placed in \(\overline{\mathrm{XY}}\) ?

(b) What is the mea¬sure of ∠PAY ?

Solution:

(a) Point A lies between X and Y.

(b) Measure of ∠PAY = 90°.

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?

Solution:

(i) 90°, 60° and 30°,

(ii) 90°, 45° and 45°, common angle = 90°.

Question 4.

Study the diagram. The line T is perpendicular to line im\

(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, (Hi) BC < EH.

Solution:

(a) Yes, CE = EG. .

(b) Yes, PE bisects CG.

(c) PE is the perpendicular bisector of DF and BH.

(d) (i) T, (ii) T, (Hi) T.