Question

In the given figure, $\overline{PL}\perp \overline{OB}$ and $\overline{PM}\perp \overline{OA}$ such that $\overline{PL}=\overline{PM}$. Is $△PLO\cong △PMO$? Give reasons in support of your answer.

Answer 1

Consider $\Delta PLOand\Delta PMO$

$\angle L=\angle M=90PM=PLPO=PO$

So by $RHS$ criteria

The triangles are congruent