Question

n ∆ABC shown below, ∡BAC is congruent to ∡BCA.

Given: Base ∡BAC and ∡ACB are congruent.

Prove: ∆ABC is an isosceles triangle.

When completed, the following paragraph proves that Line segment AB is congruent to Line segment BC making ∆ABC an isosceles triangle.

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D.
m∡BDA and m∡BDC is 90° by the definition of a perpendicular bisector.
∡BDA is congruent to ∡BDC by the definition of congruent angles.
Line segment AD is c

Answer 1

answers
1. congruent parts of congruent triangles are congruent
2. the definition of a perpendicular bisector

1. the definition of a perpendicular bisector
2. the definition of congruent angles

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

Answer 2

so am thinking A

Answer 3

Actually, I just realized that the question hasn't been posted in its entirety. It could be A but I don't really see the full paragraph proof.