QuestionGiven: $\overline{B E} \cong \overline{B D}$ and $\angle A B E \cong \angle C B D$. Prove: $\triangle A B C$ is an isosceles triangle.
Step
1 try Type of Statement $\angle A B E \cong \angle C B D$ Given
Reason
Given

Studdy Solution
Since we have proven that AB ≅ BC, we can conclude that triangle ABC is isosceles. By definition, an isosceles triangle has at least two congruent sides, which we have shown to be true for triangle ABC.
Therefore, we have proven that triangle ABC is an isosceles triangle.