Question

In the given figure, the line segment $AB$ is parallel to another line segment $RS$ and $O$ is the midpoint of $AS$, Then $\Delta AOB\cong \Delta SOR?$

• A. True
• B. False

Answer 1

The correct option is A True

$AO=OS$

$\angle ROS=\angle AOB\left(VerticallyOppositeAngle\right)$

$\angle RSA=\angle BAS\left(AlternatingAngle\right)$

Hence, According to ASA Congruence Criterion

$△AOB\cong △SOR$