Question

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

Answer 1

The answer would be B) AD=DC, the reason why is because line AD is a reflection of line DC

Answer 2

Answer with explanation:

In Quadrilateral A B CD

Diagonal BD bisects angle D.

→→ ∠A DB=∠ C DB

In ΔA DB and ΔC DB

1. AB= CB→→→→[Given]

 2. ∠A DB=∠ C DB-------[Given]

3. BD=BD ----[Common side]

⇒ ΔA DB ≅ ΔC DB→→→[S A S]

AD=DC→→→→[C P C T]

Option B:⇒ AD = DC