Question

ABCD is a quadrilateral such that diagonal AC bisects the angle a and c prove that AB =AD and CB=CD

Answer 1

In triangle ABC and ADC
AC=AC (common)
angle 1= angle 2. {given }
ang.3 = ang.4 {given}

By ASA ∆ are congurent
So, AB=AD
CB=CD {C.P.C.T. }

Answer 2

Answer:

Explanation:

Given :- BAC = DAC

BCA = DCA

TO PROVE :- AB = AD

CB = CD

PROOF :- IN TRIANGLE ABC AND ADC

BAC = DAC

BCA = DCA

AC = AC

HENCE., TRIANGLE ABC CONGRUENT TRIANGLE ADC

IMPLIES THAT., AB = AD

CB = CD