Respuesta :
Answer: A. definition of angle bisector
Step-by-step explanation:
Since, An angle bisector always divides an angle into two congruent angles.
Given: ∆ABC is an isosceles triangle
Where AB = BC
Prove: m∠BAC = m∠BCA
Statement Reason
1. Let ∆ABC be an isosceles triangle where AB = BC 1. Given
2. Create point D on side so that bisects ∠ABC 2. constructing an
angle bisector
3.m∠ABD = m∠CBD 3. definition of angle
bisector
4. BD = BD 4.Reflexive Property of
Equality
5.∆ABD ≅ ∆CBD 5. SAS
6. m∠BAC = m∠BCA 6. CPCTC