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Understanding Triangle Congruence: SSS, SAS, and ASA Criteria Explained

This lesson focuses on triangle congruence criteria, including the Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA) congruence statements. Learn how performing rigid motions results in congruent triangles and how these criteria provide the essential information needed to determine triangle congruence efficiently. Discover how to identify congruent triangles by comparing sides and angles, minimizing lengthy measurements. Join Ms. Dambreville as she breaks down these concepts for a clear understanding of geometry.

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Understanding Triangle Congruence: SSS, SAS, and ASA Criteria Explained

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Presentation Transcript

  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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