Q2.    Draw any line segment \overline{PQ}. Take any point R not on it. Through R, draw a perpendicular to \overline{PQ}. (use ruler and set-square)

Answers (1)

The steps of constructions are:

(i) Place a set-square on PQ such that one arm of its right angle aligns along PQ .

(ii) Place a ruler along the edge opposite to the right angle of the set-square.

(iii) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.

(iv) Join RM along the edge through R meeting PQ at M. Then RM ⊥ PQ.