Draw a line segment ¯PQ.¯¯¯¯¯¯¯¯PQ.¯¯¯¯¯¯¯¯PQ. Take a point RRR outside the line segment ¯PQ.¯¯¯¯¯¯¯¯PQ.¯¯¯¯¯¯¯¯PQ. Through R,R,R, draw a line perpendicular to ¯PQ.¯¯¯¯¯¯¯¯PQ.¯¯¯¯¯¯¯¯PQ.
Answer:
- Draw a line segment ¯PQ¯¯¯¯¯¯¯¯PQ¯¯¯¯¯¯¯¯PQ and mark a point RRR such that it does not lie on the line segment ¯PQ.¯¯¯¯¯¯¯¯PQ.¯¯¯¯¯¯¯¯PQ.
- With RRR as centre and an appropriate radius, draw an arc that intersects the line segment ¯PQ¯¯¯¯¯¯¯¯PQ¯¯¯¯¯¯¯¯PQ on two 222 points AAA and B.B.B.
- With the same radius as in step 2,2,2, draw 222 arcs with centres AAA and BBB respectively and mark the intersection of the arcs as point S.S.S.
- Join RS,RS,RS, the line segment ¯RS¯¯¯¯¯¯¯¯RS¯¯¯¯¯¯¯¯RS is the required perpendicular line to ¯PQ.¯¯¯¯¯¯¯¯PQ.¯¯¯¯¯¯¯¯PQ.