Mathematics
Which of the following is true for the given figure:
ΔAPC ≅ ΔBPD
CP = DP
AB and CD bisect each other
all of the above are true.
Triangles
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Answer
In ΔAPC and ΔBPD,
⇒ ∠ACP = ∠BDP (Both are 90°)
⇒ ∠APC = ∠BPD (Vertically opposite angles are equal)
⇒ AC = BD (Given)
∴ ΔAPC ≅ ΔBPD (By AAS congruency criterion)
By C.P.C.T.,
⇒ CP = DP and AP = BP
Thus, AB and CD bisect each other.
∴ All the options are correct.
Hence, option 4 is the correct option.
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