Question

in the given figure O is the mid point of AC and BD. prove that AB is parallel to DC​

Answer 1

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