Question

Write a two column proof

Given: BD bisects ABC, BD is the midpoint to AC

Prove: A is congruent to C

Answer 1

Statement 1: BD bisects ABC. BD is the midpoint of AC. Reason: Given
Statement 2: Angle ABD is congruent to Angle CBD Reason: Definition of Angle Bisector
Statement 3: Segment AD is congruent to Segment CD. Reason: Definition of Midpoint
Statement 4: segment BD is congruent to Segment BD. Reason: reflective property
Statement 5: triangle ABD is congruent to triangle CBD Reason: ASA
Statement 6: A is congruent to C. Reason: CPCTC