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Question
problem 6: complete this sentence with the best of the choices given. if two triangles are ____ to the same triangle, then they are ____ to each other. a b c d e congruent; not congruent
Step1: Recall congruence property
Congruence of triangles is transitive. If $\triangle ABC\cong\triangle DEF$ and $\triangle GHI\cong\triangle DEF$, then $\triangle ABC\cong\triangle GHI$. That is, if two triangles are congruent to a third - triangle, they are congruent to each other.
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If two triangles are congruent to the same triangle, then they are congruent to each other. So the correct choice is not provided in the given option "A. congruent; not congruent". The correct answer should be "congruent; congruent".