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    Exercise 5.5

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6th class > > Exercise 5.5

Exercise 5.5

1. Which of the following are models for perpendicular lines ?

Hint : Analyze the figure and Answer in the form of Yes or No.

(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 .

 2. Let PQ be the perpendicular to the line segment XY. Let PQ and XY intersect in the point A. What is the measure of ∠PAY?

∠PAY = degrees.

 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?

This set square is an isosceles right triangle, where the angles are: ,,.

This set square is a right triangle with the following angles:,,.

 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 : and .

(d) Are these true? (i) AC > FG : , (ii) CD = GH : , (iii) BC < EH : .