边边边(SSS)全等

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SSS congruence postulate (Note the postulate) states that if two triangles ABCABC and DEFDEF have AB‾=DE‾BC‾=EF‾CA‾=FD‾\begin{align*} \overline{AB}&=\overline{DE} \\\overline{BC}&=\overline{EF} \\ \overline{CA} &= \overline{FD} \end{align*} then the two triangles are congruent. That is, if two triangles have congruent corresponding sides, then the two triangles are congruent. The converse is also true--If two triangles have corresponding sides congruent, then the two triangles are congruent.

Because this is a postulate, there is no proof for this and is thus treated as a given in many geometric proofs.

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Here is a great triangle drawing tool that can help you out in this topic.

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