Someday you might be a big, fancy defense lawyer, and you'll have to prove that your client's triangle was congruent to the triangle in question. We're not quite sure how that would get your client off the hook for armed robbery, but it sure would be nice to wow the jury with your geometry skills.

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Centers of a Triangle 
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SSS Postulate 
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SAS, ASA, AAS 
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Proving Triangles Congruent 2 
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Properties of Equality and Congruence 
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Vertical Angle Theorem 
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Triangle Inequality Theorem 
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306090 Triangle