Question

In the given figures T and M are two points inside a parallelogram PQRS
such that PT = MR and PT || MR. Then, using congruence of triangle prove that

i) PTR = RMP
ii) RT || PM and RT=PM

Answer 1

Answer:

As, PT=MR and PT||MR

Therefore, PTRM is a parallelogram.

i) In triangle PTR and triangle RMP

PT=MR (Given)

MP=TR (As PTRM is a parallelogram)

PR=PR (Common)

Therefore, triangle PTR =~ triangle RMP

ii)RT||PM and RT=PM because PTRM is a parallelogram.

Hope it is clear...

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