Question

ABCD is a quadrilateral such that diagonal AC bisects the angle A nd C . prove that AB=AD and CB=CD..... don't spam plz ..

Answer 1

Explanation:

given: ABCD is quadrilateral

AC bisect angle A and C

such that angle DAC=angle CAB

angleBCD=angleDCB

TO prove AB=ANGLE

proof= in triangle ADC and ABC

AC=AC (common)

angle DAC = angle CAB (given)

angleBCD=angle DAB (given)

by ASA rule

triangle ADC= ABC

BY CPCT

AD=AB

Hence proved

Answer 2

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.

Explanation:

hope this helps you jaanu ।