Question

In the following diagram AP and BQ are equal and parallel to each other
Prove that $△AOP\cong △BOQ$

Answer 1

In $△AOP,△BOQ$

$AP=BQ$

$\angle PAO=\angle BQO$

$\angle APO=\angle QBO$

$\angle AOP=\angle BOQ$

By $AAA$ congruency $⟹△AOP\cong △BOQ$