Is △ABC ≅△DCB

Question

? Explain.

(1 point)
Responses

They are congruent according to the ASA Postulate.
They are congruent according to the ASA Postulate.

They are congruent according to the SSS Postulate.
They are congruent according to the SSS Postulate.

They are not congruent because there are no congruent angles.
They are not congruent because there are no congruent angles.

They are not congruent because BD and CD are unknown.
They are not congruent because BD and CD are unknown.

Answer 1

Based on the information given in the question, the triangles △ABC and △DCB are actually congruent by the ASA (Angle-Side-Angle) Postulate. This is because angle B is congruent to angle B, angle C is congruent to angle C, and side BC is congruent to side CB. Therefore, the triangles are congruent.