Question

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

a) No, there is an error in line 1; segments AB and BC are congruent.
b) Yes, the proof correctly justifies that triangles ABE and DBE are congruent.
c) No, the proof uses the wrong postulate.
d) Yes, because the reflexive property is sufficient to prove congruence.

Answer 1

The given proof correctly justifies that triangles ABE and DBE are congruent using the SAS postulate.

Step-by-step explanation:

The given proof correctly justifies that triangles ABE and DBE are congruent. The proof uses the SAS (Side-Angle-Side) postulate, which states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. In the given proof, it is shown that segments AB and BC are congruent, and angles ABE and DBE are congruent. Therefore, triangles ABE and DBE are congruent.