Question

PR = AB
State whether the above statement is true or false.

• A. True
• B. False

Answer 1

The correct option is B False

In $△PBR$ and $△QCR$,
$\angle ABC=\angle ACB$ (Isosceles triangle property)
$BR=CR$ (R is the midpoint of BC)
$AP=CQ$ (Given, AB = AC and P, Q are mid points of AB and AC respectively)
Thus, $△PBR\cong △QCR$ (SAS rule)
Hence, $PR=QR$ (Corresponding sides)