Math, asked by rahulroy96511, 11 months ago

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

Answers

Answered by komalmittal147
9

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

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