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Given : ABCD is a rectangle
∴ Opposite sides are equal and parallel. Each angle measures 90°
In ΔADP and ΔCBQ,
AD = BC................(opposite sides of rectangle ABCD)
∠DAP = ∠BCQ....... (Alternate interior angles as AD||BC)
∠DPA = ∠BQC = 90° ....... (Given)
∴ by AAS Congruence Condition,
ΔADP≅ΔCBQ
∴∠ADP = ∠CBQ (C.P.C.T)
and, DP = BQ (C.P.C.T)
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