Question

Can someone please check this?

Line segment BD is congruent to line segment CD. I think that the reason for this is the Partition Postulate. Am I correct?

Answer 1

I think there is a diagram given for the question above. Nevertheless, here is what I have based on my research.

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

Statements:
1. line segment AB is congruent to line segment AC
2. angle BAD is congruent to angle CAD
3. line segment AD is congruent to line segment AD
4. Triangle BAD is congruent to triangle CAD
5. line segment BD is congruent to line segment CD
6. Line segment AD bisects line segment BC

Reasons:
1. Given
2. Given
3. Reflexive Property
4. SAS
5. CPCTC Theorem
6. Definition of Segment Bisector