Question

Write a two column proof.
Given: BD bisects ABC, BD is the midpoint to AC
Prove: A is congruent to C

Answer 1

Answer: 1. BD is perpendicular to AC - given

2.BD bisects AC - given

3. <BDC = 90 degrees; < BDA= 90 degrees - definition of perpendicular

4. m<BDC = m<BDA - substitution property

5. m<ABD = m<CBD - definition of a bisector

6. BD = BD - reflexive property

7. ABD = CBD - Angle-side-angle congruency theorem

hope this helps at all

Answer 2

Be is perpendicular to ac, and that is given