Q2 of 45 Page 100

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

Let’s draw the line segment XY first,


Now draw PQ perpendicular to XY and intersecting at point A.


As PQ is a perpendicular to XY so it will form a right angle at intersecting point.


Untitled21.jpg


As we can see in the figure ∠PAY is of 90°.


More from this chapter

All 45 →
11

Measure and classify each angle:







































Angle



Measure



Type



∠AOB





∠AOC





∠BOC





∠DOC





∠DOA





∠DOB




 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.

 3

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

 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.