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Explaining SAS, ASA, and SSS

Explaining SAS, ASA, and SSS. ~adapted from Walch Education. Important:. When a series of rigid motions is performed on a triangle, the result is a congruent triangle It is possible to determine if triangles are congruent by measuring and comparing each angle and side, but this can take time

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Explaining SAS, ASA, and SSS

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  1. Explaining SAS, ASA, and SSS ~adapted from Walch Education

  2. Important: • When a series of rigid motions is performed on a triangle, the result is a congruent triangle • It is possible to determine if triangles are congruent by measuring and comparing each angle and side, but this can take time • Criteria for triangle congruence, known as triangle congruence statements, provide the least amount of information needed to determine if two triangles are congruent.

  3. Side-Side-Side (SSS) Congruence Statement • SSS Congruence Statement states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. • It is understood that the corresponding angles are also congruent.

  4. Side-Angle-Side (SAS) Congruence Statement • if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. • The included angle is the angle that is between the two congruent sides. INCLUDED ANGLE NON-INCLUDED ANGLE

  5. Angle-Side-Angle (ASA)Congruence Statement • If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. • The included side is the side that is between the two congruent angles. INCLUDED SIDE NON-INCLUDED SIDE

  6. Angle-Angle-Side(AAS)Congruence Statement • A fourth congruence statement, angle-angle-side (AAS), states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the triangles are congruent.

  7. SSS, SAS, & ASA

  8. Thanks for Watching!! ~ Ms. Dambreville

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