Question

Draw a line PQ. Take a point R on it. Draw a line perpendicular to PQ and passing through R.
(Using (i) ruler and a set-square (ii) ruler and compasses)

Answer 1

(i) Draw a line PQ and take a point R on it.
Place a set-square, such that its one arm of the right angle is along the line PQ .
Without disturbing the position of the set-square, place a ruler along its edge.
Now, without disturbing the position of the ruler, remove the set-square and draw a line MN through point R.
MN is the required line perpendicular to line PQ passing through R.


(ii) Draw a line PQ and take a point R on it.
With R as centre and taking a convenient radius, construct an arc touching the line PQ at two points A and B. Now, with A and B as centres and radius greater than AR, construct two arcs cutting each other at S.
Join RS and extend it in both directions.
This is the required line, which is perpendicular to PQ and passes through R.