Q. 14.2( 33 Votes )

# In the given figure, If AB || DC and P is the midpoint of BD, prove that P is also the midpoint of AC.

Answer :

In Δ DPC and Δ APB we have

DP = PB(P is the midpoint of BD)

∠DPC = ∠APB( Vertically Opposite)

∠DCP = ∠PAB (Alternate interior angle)

So Δ DPC and Δ APB are congruent to each other by A.A,S. axiom of congruency

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