List of top Mathematics Questions on Perpendicular Lines

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 

If a x b and c x d are perpendicular satisfying a.c = λ, b.d = λ (λ>0) and a.d = 4, b.c = 9, then λ is equal to:

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?

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

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.