In the given figure, the point P bisects AB and DC. Prove that ΔAPC � – InterviewSolution

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1.

In the given figure, the point P bisects AB and DC. Prove that ΔAPC ≅ ΔBPD.

Answer»

Given that P bisects AB and DC.

Now in ΔAPC and ΔBPD

AP = BP (∵ P bisects AB)

CP = DP (∵ P bisects CD)

∠ APC = ∠ BPD

∴ ΔAPC ≅ ΔRPP (∵ SAS congruence)

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