Question

C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent?

A) There is an error in line 1; segments AB and BD are given to be congruent.
B) There is an error in line 4; segment AD is not a shared side.
C) There is an error in line 3; segment BE should be a median.
D) The proof is correct.

Answer 1

The given proof does not correctly justify the congruence of triangles ABE and DBE.

Step-by-step explanation:

The given proof does not justify that triangles ABE and DBE are congruent. The correct justification would include the statement that BE is a median of triangle ABD. However, line 3 incorrectly states that BE is a perpendicular bisector of AD. Therefore, option C) There is an error in line 3; segment BE should be a median.