Question

State whether the following statement is True or False.
Line-segment $AB$ is parallel to another line-segment $CD.O$ is the mid-point of $AD$. Then $△AOB\cong △DOC$

• A. True
• B. False

Answer 1

The correct option is A True

In $△AOB$ and $△DOC$

$\angle ABO=\angle DC0$ {alternate angles}

$\angle AOB=\angle DOC$ {vertical opposite angle}

$OA=OD$ {$O$ is the mid-point of $AD$}

$△AOB\cong △DOC$