Students can download Chapter 5 Understanding Elementary Shapes Ex 5.5 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

## Karnataka State Syllabus Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5

Question 1.

Which of the following are models for perpendicular lines:

Solution:

a) The adjacent angles of a tabletop

The adjacent edge of a tabletop is perpendicular to each other.

b) The line of a railway track

The lines of a railway track are parallel to each other.

c) The line segments forming the letter ‘L’

The line segments forming the letter ‘L’ are perpendicular to each other.

d) The letter V.

The sides of the letter V are inclined at some acute angle on each other

Hence (a) and (c) are the models for perpendicular lines.

Question 2.

Let \(\overline{\mathbf{P Q}}\) be the perpendicular to the line segment \(\overline{\mathbf{X Y}}\). Let \(\overline{\mathbf{P Q}}\) and \(\overline{\mathbf{X Y}}\) intersect in the point A. What is the measure of ∠PAY?

Solution:

From the figure, if c be easily observed that the measure of ∠PAY is 90°

Question 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?

Solution:

On has a measure of 90°, 45°, 45° other has a measure of 90°, 30°, 60° Therefore, the angle of 90° measure is common between them.

Question 4.

Study the diagram. The line l is perpendicular to line m

Solution:

a) Is CE = EG?

Yes, As CE = EG = 2 units

b) Does PE bisect CG?

Yes, PE bisects CG since CE = EG

c) Identify any two line segments for which PE is the perpendicular bisector.

DF and BH

d) Are these true?

i) AC < EG

True, As the length of AC and FG are 2 units and 1 unit respectively

ii) CD = GH

True, As both have 1 unit length

iii) BC < EH

True, As the length of BC and EH are 1 unit and 3 units respectively.