Question

In triangle ABC; AB = AC. P, Q, and R are mid-points of sides AB, AC, and BC respectively. Hence, BQ = CP.

State whether the above statement is true or false.

• A. True
• B. False

Answer 1

The correct option is A True

In $△PBC$ and $△QBC$,
$BC=BC$ (Common)

As $AB=BC$
$\angle ABC=\angle ACB$ (Isosceles triangle property)

$PB=QC$ (AB = AC and P , Q are mid points of AB and AC respectively)
Thus, $△PBC\cong △QCB$
Hence, $CP=BQ$ (Corresponding sides)