Question

the diagonal AC of a quadrilateral ABCD bisects angle BAD angle BCD. prove that BC=CD​

Answer 1

Step-by-step explanation:

in triangle BAC and ACD,

AC=AC

angle BAC = angle CAD

ANGLE BCA= ANGLE ACD

therefore by asa axiom, triangle BAC and ACD ARE CONGRUENT

so BC = CD (cpctc)