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Download 4-3 Proving triangles are congruent: SSS and SAS
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Transcript
4.3 & 4.4 Proving Triangles are Congruent Side-Side-Side (SSS) Congruence Postulate: If 3 sides of one triangle are congruent to 3 sides of another triangle, then the two triangles are congruent. Side-Angles-Side (SAS) Congruence Postulate If 2 sides are congruent and the angle between the sides are congruent then the triangles are congruent. Angle-Side-Angle (ASA) Congruence Postulate If 2 angles are congruent and the side between them is congruent then the triangles are congruent. 45 50 45 50 Angle-Angle-Side (AAS) Congruence Theorem If 2 angles are congruent and the non-included side is congruent then the triangles are congruent. Overall, the 4 postulates to prove Triangles Congruent are… • SSS • SAS • ASA • AAS *Order matters! Practice Questions: Are the following triangles congruent? If so, by which postulate? Practice Questions: Name the included angle between side AB and BC: Practice Questions: Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use.
