Question

Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Given: ∠ABC ≅ ∠DCB; ∠DBC ≅ ∠ACB​

Answer 1

`\triangle ABC \cong \triangle DCB` by ASA

Explanation:

`\overline{BC} \cong \overline{BC}`, so
`\triangle ABC \cong \triangle DCB` by ASA.