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When trying to prove two triangles congruent, you can use SSS, SAS, ASA, AAS, HL, and HA patterns. However, the pattern A S S doesn't work. Instead of spelling or saying this word in class, you can refer to it as "the donkey theorem". You can look at the pattern in the two triangles and say "these two triangles are not congruent because of the donkey theorem."

You CANNOT prove triangles incongruent with 'the donkey theorem', nor can you prove them congruent. It's mostly sort of a joke, you could say, but it's never useful.

The reason is that if the two triangles ARE congruent, then of course there will be an unincluded congruent angle as well as two congruent sides.

The theorem doesn't do anything left, right, forward or backward. It's not even really a theorem. :P

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15y ago

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Q: What is the donkey theorem?
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