Final answer:
To determine triangle congruence, one must know information corresponding to ASA, SAS, or SSS congruence postulates. Without enough details about sides and angles given, it's not possible to determine congruence, which is the option 'Not enough information'.
Step-by-step explanation:
To determine if two triangles are congruent, we must know specific information about their sides and angles, which corresponds to the congruence postulates: ASA (Angle-Side-Angle), SAS (Side-Angle-Side), or SSS (Side-Side-Side). If we know two angles and the side between them (ASA), two sides and the angle between them (SAS), or all three sides (SSS) of the triangles match respectively, then the triangles are congruent. Without this information, we cannot determine congruence, which is option D, Not enough information.
In the context of these principles:
- Triangles are a fundamental shape in mathematics, defined by having three sides and the sum of its interior angles always equal to 180 degrees.
- Congruent triangles are those that are identical in shape and size, even if they are flipped or rotated.
- Establishing triangle congruence is a common problem in geometry, important for understanding properties of geometric shapes and proving theorems.