Question

Draw a line l. Take a point A, not lying on l. Draw a line m such that m ⊥ l and passing through A. (Using (i) ruler and a set-square (ii) ruler and compasses)

Answer 1

(i) We draw a line l and take a point A outside it.
Place a set square PQR such that its one arm PQ of the right angle is along the line l.
Without disturbing the position of set-square, place a ruler along its edge PR.
Now, without disturbing the position of the ruler, slide the set-square along the ruler until its arm QR reaches point A.
Without disturbing the position of the set-square, draw a line m.
Line m is the required line perpendicular to line l.





(ii) With A as centre, draw an arc PQ, which intersects line l at points P and Q.
Without disturbing the compass and taking P and Q as centres, we construct two arcs such that they intersect each other. The point where both arcs intersect is B.
Join points A and B and extend it in both directions. This is the required line.