Class 6 | Mathematics | Chapter 5| Understanding Elementary Shapes | Exercise 5.5
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.
(b) Not perpendicular
(d) Not perpendicular
2. Let P̅Q̅ be the perpendicular to the line segment X̅Y̅ . Let P̅Q̅and X̅Y̅ intersect in the point A. What is the measure of ∠PAY ?
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?
One set-square has 45° ,90° ,45° and other set-square has 60° ,90° ,30° . They have 90° as common angle.
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.
(a) Yes, both measure 2 units.
(b) Yes, because CE = EG
(c) DF and CG , BH
(d) (i) True, (ii) True, (iii) True