Question

Consider the following proof. What theorem is being proved? Given: Isosceles △ABC△ABC with AB¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯AB¯≅BC¯ Prove: ∠A≅∠C∠A≅∠C Statements Reasons 1. Isosceles △ABC△ABC with AB¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯AB¯≅BC¯ 1. Given 2. BD←→BD↔ the angle bisector of ∠B∠B 2. Construction 3. ∠ABD≅∠CBD∠ABD≅∠CBD 3. Definition of angle bisector 4. BD¯¯¯¯¯¯¯¯≅BD¯¯¯¯¯¯¯¯BD¯≅BD¯ 4. Reflexive property of congruence 5. △ABD≅△CBD△ABD≅△CBD 5. SAS Congruence Theorem 6. ∠A≅∠C∠A≅∠C 6. CPCTC Theorem (1 point) Responses the Triangle Sum Theorem the Triangle Sum Theorem the Isosceles Triangle Theorem the Isosceles Triangle Theorem the Base Angles Theorem the Base Angles Theorem the Triangle Inequality Theorem

Answer 1

[AI-generated answer — Bot GPT 3.5]

The theorem being proved is the Isosceles Triangle Theorem.