Question

In the figure P is the midpoint of BC. AB and CD are parallel. a) Prove that AB = CD b) P is the midpoint of AD. B D​

Answer 1

Answer:

Answer

Given:- AB∣∣DC

To prove : - P is midpoint of AC

Proof :- P is midpoint of DB.

Here DP=BP.

∴∠DCP=∠BAP.

and ∠DPC=∠APB

DP=BP

∴ now ΔDPC≅ΔAPB

∴∠CDP=∠PBA

∴AP=PC

∴AP+PC=AC [we know]

2AP=AC

[AP=

2

AC

]

∴P is midpoint of AC