Similar triangles may or may not be congruent.
The triangle postulate that proves the congruence of the triangles is (a) SSS
From the question, we have the following observations
- Sides AT and TE are congruent
- Sides AD and ED are congruent
- Side DT is a common side on both triangles
The above highlights can be represented as:
None of the angle of both triangles are highlighted as congruent angles.
Hence, the appropriate congruent postulate is SSS
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