Question

In the figure, PQ is parallel to Rs.'o' is the midpoint of PS. And prove that the lengths of PQ and RS are equal

Answer 1

Step-by-step explanation:

given : PQ||RS

O is mid pt. of PS i.e. PO=OS

To prove : PQ=RS

Proof: In ∆POQ and ∆ROS

anglePOQ = angleROS (vertical opposite angles)

PO=OS (prooved above)

anglePQO =angle ORS (alternate interior angle)

By AAS congruence , ∆POQ congruent to ∆ORS

By cpct , PQ=RS