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ABCD is a parallelogram and AP and CQ a...

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD . Show that
(i) `DeltaA P B~=\ DeltaC Q D`
(ii) `A P\ =\ C Q`

Text Solution

Verified by Experts

`/_APB and /_ CQD`
`angleAPB=90^0=angleCQD=90^0`
AB=CD
`:. angleCDQ=angleQBA`
`anglePAB=angleDCQ`(ASA)
`:./_APB=/_CQD`
`:.AP=CQ`
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