NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.5

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

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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 NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 1 be perpendicular to the line segment NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 2, and NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 4 intersect in point A. What is the measure of ∠PAY?

Solutions:

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 5

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?

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 6

 

(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) NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 7and NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 - 8are 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 – 

NCERT Solutions for Class 6 Maths Chapter 5

NCERT Solutions for Class 6

NCERT Solutions

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