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Moderate

Congruent Triangles - AAS

ACTMAT-XRCOKV

In triangle ABC below, $ {\overline { AD } } $ bisects $ {\angle }CAB $ as shown.

Which of the following congruence statements must be true to make $ {\Delta CAD\cong\Delta BAD} $ by AAS?

A

$ {\overline { AC } \cong\overline { AB } } $

B

$ {\angle ACD \cong \angle ABD} $

C

$ {\angle ADC \cong \angle ADB} $

D

$ {\overline { CD }\cong\overline { BD } } $

E

$ \overline {DC} \cong \overline {BA} $