Question

ABCD is a qiardilateral,such that the diagonal AC bisects angle A and C,prove that AB=AD,CB=CD​

Answer 1

Answer:

In ΔABC and ΔADC,

∠BAC=∠DAC (given)

∠ACB=∠ACD (given)

AC=AC (common)

∴ΔABC≅ΔADC (ASA axiom)

∴AB=AD and CB=CD by CPCT.