Answer:
The Proof with Statement are below.
Step-by-step 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. [tex]\overline AB \cong \overline AC\\\overline DB \cong \overline DC[/tex]............{Definition of Congruent statements
}
4. [tex]\overline AD \cong \overline AD\\[/tex]..... . {Reflexive property of congruence
}
5. Δ ABD ≅ Δ ACD ….{SSS Congruence Postulate}
6. ∠ B ≅ ∠C ……….{Definition of congruent angles
}
