Question

State true or false.

In the given figure, $AB=AC$ , then $\begin{array}{c}DP=DQ\end{array}.$

• A. True
• B. False

Answer 1

The correct option is A True

$AB$ & $AC$ are equal in length
So, in $△ABC$, $\angle B=\angle C$
From $△BPD$ & $△DQC$
$i)\angle BPD=\angle CQD={90}^0$
$ii)BD=DC$
$iii)\angle B=\angle C$
$△BPD\cong △CQD\left(byASAcriteria\right)$
by CPCT
$DP=DQ$