Question

If P and Q are the mid points of the sides AB and CA respectively, then which of the following statement(s) is/are correct?

• A. $PQ||BC$
• B. $AP=\frac{AB}{2}$
• C. $AP=AC$
• D. $PQ=\frac{BC}{2}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $PQ||BC$
B $AP=\frac{AB}{2}$
D $PQ=\frac{BC}{2}$


$\text{Since, P and Q are the mid-points of}\text{AB and CA respectively, then}AP=\frac{AB}{2}QA=\frac{CA}{2}$

$\text{From mid-point theorem,}PQ=\frac{BC}{2}PQ||BC$