the given figure, AP = BQ, PR = QS. Show that ΔAPS = ΔBQ R
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In ∆ APS & ∆ BQR
<APQ=<BQR=90°
AP=BQ(given)
PS=QR( since PR=QS,
PR+RS=QS+RS(when equals are added to equals the wholes are equal)
PS=QR(because RS is a common region for both triangles.)
Therefore,
∆APS=∆BQR(S.A.S criterion)
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