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Geometric Proofs

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Given: line AB is congruent to line AC, Angle BAD is congruent to angle CAD.
Prove: line AD bisects BC

Picture: An upside down triangle divided inhalf to form two triangles Angle BAD and angle CAD. They share a common side of AD. and point D bisects line BC. and Angle c and Angle B are corresponding and congruent.

what i have so far
given info
Line DA is congruent to Line DA by Reflexive Prop or EQuality
angle C is congruent to angle B by the Corresponding parts of congruent triangles are congruen. CPCTC.
but i do not know where to go from that..

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