Question

In figure, C is mid-point of the segment AB, P and Q are mid-point of the segments AC and BC respectively. Prove that AP = BQ = AB/4

Answer 1

In figure, C is midpoint of the segment AB.

AC = AB

AP = {1/2 AC } = 1/4 AB.

Similarly, we have

BC= AB/2 and BQ = BC/2

BQ = {1/2 BC} = 1/4 AB.

Therefore, we have,

AP= BQ = AB/4