Question

abcd is a parallelogram x is mid point of ad and y is the mid point of bc prove that xy and bd

bisect each other

Answer 1

first take triangle ABD & BDC

prove it congurent by SSS by CPCT it angle

DBC = ADB (i)

Take triangle XOD and BOY

using (i) below
half AD & BC xd = by

prove it congurent by AAS

BY CPCT xo = oy

DO = BO