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Triangle Congruency Theorems
All about proving triangles are congruent!
4
Mathematics
7th Grade
11/14/2007

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Term
Side-Side-Side (SSS) Congruence Postulate
Definition
If three sides of one triangle are congruent to three sides of a second triangle, the the two triangles are congruent.
Term
Side-Angle-Side (SAS) Congruence Postulate
Definition
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Term
Angle-Side-Angle (ASA) Congruence Postulate
Definition
If two angles and the included side of one triangle are congruent to two angles and the included side of one triangle, then the two triangles are congruent.
Term
Angle-Angle-Side (AAS) Congruence Theorem
Definition
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent.
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