NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.5 are prepared by subject-matter experts at BYJU’S, keeping in mind the understanding abilities of students. The exercise covers the concept of perpendicular lines. By practising the NCERT Solutions Class 6 Maths, the students can improve their speed in solving problems. For a better hold on the concepts covered in Class 6 Maths, students can download the chapter-wise solutions in PDF from the links below.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.5
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 tabletop
(b) The lines of a railway track
(c) The line segments forming the letter ‘L’
(d) The letter V
Solutions:
(a) The adjacent edges of a tabletop 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 the letter V are inclined to form an acute angle.
Therefore, (a) and (c) are models for perpendicular lines.
2. Let 
be perpendicular to the line segment 
, and 
intersect in point A. What is the measure of ∠PAY?
Solutions:
From the figure, it is clear that the measure of ∠PAY is 900.
3. There are two set squares in a box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?
Solutions:
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 between them.
4. Study the diagram given below. 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
Solutions:
(a) Yes, since CE = 2 units and EG = 2 units, CE = EG.
(b) Yes, since CE = EG, and both are of 2 units, PE bisect CG.
(c)Â 
and 
are the two line segments for which PE is the perpendicular bisector.
(d) (i) True, since AC = 2 units and FG = 1 unit.
(ii) True because both are of 1 unit.
(iii) True, since BC = 1 unit and EH = 3 units.
Also, explore –Â
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