Use the following information for questions 2–5. Questions 2–4 are the steps in a proof, and question 5 is the conclusion to that proof.
Given: triangleABD congruent to triangleCDB, modifying above upper A upper B with bar||modifying above Upper C Upper D with barA parallelogram is shown. Its points from bottom left moving clockwise are A, B, C, and D. Two diagonal lines go from point A to C and point B to D. The intersection of the lines in the middle is marked point E.
Prove:triangleABE congruent to triangleCDE
Question
A student writes the statement angleBEA congruent to angleDEC to help prove the triangles are congruent. What reason should the student give?
(1 point)
Responses
Given
Given
Angles cut by a bisector are congruent.
Angles cut by a bisector are congruent.
Base angles of an isosceles triangle are congruent.
Base angles of an isosceles triangle are congruent.
Vertical angles are congruent.