Page No 100:
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) The adjacent edges of a table top are perpendicular to each other.(b) The lines of a railway track are parallel to each other.
(c) The line segments forming the letter ’L’ are perpendicular to each other.
(d) The sides of letter V are inclined at some acute angle on each other.
Hence, (a) and (c) are the models for perpendicular lines.
Question 2:
Let
be the perpendicular to the line segment
. Let and intersect in the point A. What is the measure of ∠PAY?Answer:
From the figure, it can be easily observed that 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 corners? Do they have any angle measure that is common?Answer:
One has a measure of 90°, 45°, 45°.Other has a measure of 90°, 30°, 60°.
Therefore, the angle of 90° measure 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 > FG.
(ii) CD = GH.
(iii) BC < EH.
Answer:
(a) Yes. As CE = EG = 2 units(b) Yes. PE bisects CG since CE = EG.
(c)
and 
(d) (i) True. As length of AC and FG are of 2 units and 1 unit respectively.
(ii) True. As both have 1 unit length.
(iii) True. As the length of BC and EH are of 1 unit and 3 units respectively.
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