The question does not provide enough information about the triangles to determine which congruence rule applies, so the correct answer is C. Not enough information to prove congruence. The question asks which rule explains why two triangles are congruent. The options are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), or if there is not enough information to prove congruence.
Without seeing the triangles themselves, we cannot definitively select A, B, or D since they require specific information about the sides and angles of the triangles:
- SSS congruence means all three sides of one triangle are congruent to all three sides of another triangle.
- SAS congruence means two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
- ASA congruence means two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
Not enough information given to determine the answer is a viable choice if the question does not provide adequate details to establish congruence based on the given criteria.
Because the question does not include specific details about the triangles, the correct answer is C. Not enough information to prove congruence.