Question

determine if the two triangles are congruent. if they are, state the triangle congruence statement.
○ a. △abc≅△bcd
○ b. △abc≅△ced
○ c. △abc≅△dbc
○ d. the triangles are not congruent

Explanation:

Check congruence using marked sides: $AB \cong BC$, $AC \cong BD$, and $BC$ is common to both $\triangle ABC$ and $\triangle DBC$. By SSS congruence, $\triangle ABC \cong \triangle DBC$.

Answer:

c. $\triangle ABC \cong \triangle DBC$