SOLUTION: Given: segment BA congruent to segment BC, Ray BD bisects angle ABC Prove: D is the midpoint of segment AC

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Question 934391: Given: segment BA congruent to segment BC, Ray BD bisects angle ABC
Prove: D is the midpoint of segment AC
Answer by solver91311(24713) About Me  (Show Source):
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BA congruent to BC: Given
mBA = mBC: Defn Congruent
mBD = mBD: Reflexive Equality
m angle ABD = m angle CBD: Defn Bisector
Triangle ABD congruent Triangle CBD: SAS
mAD = mDC: CPCTC
D midpoint of AC: Defn midpoint.

John

My calculator said it, I believe it, that settles it