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Question

Question 2

Draw any line segment ¯¯¯¯¯¯¯¯PQ Take any point R not on it. Through R, draw a perpendicular to ¯¯¯¯¯¯¯¯PQ (Use ruler and set-square)

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Solution

Steps of construction:

(i) Draw a line ¯¯¯¯¯¯¯¯PQ and mark a point R, not on it.

(ii) Place a set-square on ¯¯¯¯¯¯¯¯PQ such that one arm of its right angle aligns along ¯¯¯¯¯¯¯¯PQ.
(iii) Place a ruler along the edge opposite to the right angle of the set-square.
(iv) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.
(v) Join RM along the edge through R meeting ¯¯¯¯¯¯¯¯PQ at M. Then RM PQ

Hence, we get the figure as shown below:


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