Answer:
The Proof with Statement are below.
Explanation:
Given:
AD is the
perpendicular bisector of BC
TO Prove:
∠ B ≅ ∠ C
Proof:
In Δ ABD and Δ ACD
1. AD is the perpendicular bisector of BC............{Given}
2. AB = AC
DB = DC ……….{Perpendicular bisector theorem }
3.
............{Definition of Congruent statements }
4.
..... . {Reflexive property of congruence }
5. Δ ABD ≅ Δ ACD ….{SSS Congruence Postulate}
6. ∠ B ≅ ∠C ……….{Definition of congruent angles }