Similarity, Congruence, & Proofs

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Presentation transcript:

Similarity, Congruence, & Proofs Geometry = 40 points

If the angles of 1 triangle are = to the angles of another triangle Triangles are SIMILAR If the angles of 1 triangle are = to the angles of another triangle OR If all pairs of corresponding sides of the 2 triangles are in the same proportion (all sides of the 2nd triangle are 3x as large as the sides of the 1st triangle)

Triangles are CONGRUENT ONLY IF they have the same angle measurements AND the same side lengths

Remember that order matters! Triangle ABC is congruent to triangle DEF This is because angles A & D are equal, sides AB & DE are equal, angles B & E are equal, etc.

AAA & SSA DO NOT prove congruency!