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`P Q R S`is a parallelogram. `P X`and QY are respectively, the perpendiculars from `P`and `Q`to `S R`and `R S`produced. Prove that `P X=Q Ydot` |
Answer» PS=QR( opposite sides of parallelogram are equal) `/_PSR+/_QRS=180^@` `/_PSR=180^@-/_QRS-(1)` `/_2+/_QRS=180^@` `/_2=180^@-/_QRS-(2)` `/_2=/_PSR=/_1` `In /_PYS` and `/_QRY` PS=QR `/_1=/_2` `/_PXS=/_PYR` `/_PXS cong /_BRY(A AS)` PX=QY. |
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