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Triangle Congruence SSS, SAS, ASA
NOTES 3.2 Triangle Congruence SSS, SAS, ASA
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SSS (Side-Side-Side) Postulate
If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. ABC ≅ XYZ A Y X Z B C
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SAS (Side-Angle-Side) Postulate
If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent. ABC ≅ XYZ A Y X Z B C
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ASA (Angle-Side-Angle) Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
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IMPOSSIBLE METHODS: Angle-Side-Side or Angle-Angle-Angle
ASS or SSA – can’t spell bad word AAA – proves similar , not congruent . ABC ≅ XYZ A Y X Z B C
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Triangles are congruent by…
SSS ASA SAS
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