Draw perpendicular from A and B

Question

draw a line segment PQ of length 10.4 cm and mark two points A and B such that A is on PQ and B is not on PQ, draw perpendiculars from A and B on to PQ

Answer 1

Step I: Draw a line L and take a point P on it.

Step II: Using a ruler and a compass, mark a point Q on the line L, where PQ=12 cm.

Step III: Mark a point Q outside PQ.

Step IV: Now, with O as centre, draw an arc of appropriate radius such that the arc cuts the line at points A and B.

Step V: Taking A and B as centres, construct two arcs such that they intersect each other at C. Join the points O and C.

Thus, OC is the required line which is perpendicular to PQ.