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12. are the triangles below congruent or similar?

Question

  1. are the triangles below congruent or similar?

Explanation:

Step1: Recall similarity and congruence criteria

For two triangles to be congruent, all corresponding sides and angles must be equal. For similarity, corresponding angles must be equal and corresponding sides must be in proportion. Here we see that $\angle U=\angle L$ and $\angle T = \angle K$. Since two - pairs of corresponding angles are equal, by the AA (Angle - Angle) similarity criterion, the triangles are similar. There is no information about side - lengths being equal, so they are not congruent.

Answer:

The triangles are similar.