The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC:
2 answers:
The answer would be B) AD=DC, the reason why is because line AD is a reflection of line DC
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
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