9. In the following diagram, AP and BQ are
equal and parallel to each other.
P
B
А
Prove that:
(i) A AOP = A BOQ.
(ii) AB and PQ bisect each other.
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In the following diagram, AP and BQ are
equal and parallel to each other.
Prove that :
(i) ∆ AOP = ∆ BOQ.
(ii) AB and PQ bisect each other.
ln ∆ AOP & ∆ BOQ
AP=QB. (Given)
<POA= <BOQ. (vertically opposite angle)
<PAO=<QBO. (Alternate interior angle)
∴ ∆AOP ≅ ∆ BOQ. (by A.A.S. criteria)
since,∆AOP ≅ ∆ BOQ. therefore,they both are equal to each other.which prove AO and OB and PO and OQ are equal.
therefore,AB and PQ bisect each other.
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