Question

The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC:

A quadrilateral ABCD is drawn with BD as a diagonal. BD bisects angle ADC and forms two triangles ABD and CBD. AD and CD are eq

Which equation is true? (6 points)

Select one:
a. AB = BC
b. DB = 2DC
c. AB = DB
d. AB = 2AD

Answer 1

The correct answer is (a) AB=BC

Because BD bisects angle ADC and forms two triangles ABD & CBD.

Therefore, the two triangles are congruent as BD is common and angle ADB= CDB.

Hence, AB=BC