We know that two lines which intersect each other at right angles are perpendicular to each other. This is the main concept covered under the exercise 5.5 of chapter 5. The solutions are prepared by experts keeping in mind the understanding abilities of students. By using PDF of solutions designed by experts, the students improve their speed in solving problems. For a better hold on concepts covered in this exercise, NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.5 PDF are provided here for free download.
Access NCERT Solutions for Class 6 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.
(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 forming an acute angle.
Therefore (a) and (c) are models for perpendicular lines.
2. Let be the perpendicular to the line segment . Let and intersect in the point A. What is the measure of ∠PAY?
From the figure it is clear that the measure of ∠PAY is 900
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?
The measure of angles in one set square are 300, 600 and 900
The other set square has a measure of angles 450, 450 and 900
Yes, the angle of measure 900 is common in between them
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, since, CE = 2 units and EG = 2 units respectively
(b) Yes. Since, CE = EG as both are of 2 units. Hence PE bisect CG
are the line segments for which PE is the perpendicular bisector
(d) (i) True. Since AC = 2 units and FG = 1 unit
∴ AC > FG
(ii) True because both are of 1 unit
(iii) True. Since, BC = 1 unit and EH = 3 units
∴ BC < EH