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Prove Triangles Congruent by SSS Prove Triangles Congruent by SSS • Side-Side-Side (SSS) Congruence Postulate: Prove Triangles Congruent by SSS • Side-Side-Side (SSS) Congruence Postulate: – If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Prove Triangles Congruent by SSS • Side-Side-Side (SSS) Congruence Postulate: – If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. – In other words: Prove Triangles Congruent by SSS • Side-Side-Side (SSS) Congruence Postulate: – If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. – In other words: • If all the sides are the same, the triangles are the same. Prove Triangles Congruent by SSS • Side-Side-Side (SSS) Congruence Postulate: – If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. – In other words: • If all the sides are the same, the triangles are the same. Prove Triangles Congruent by SSS • Given: • KL = NL, KM = NM L K N M • Prove KLM = NLM Prove Triangles Congruent by SSS 8 8 8 4 6 6 Prove Triangles Congruent by SSS • Show how you know LMA = LOA M L A O Prove Triangles Congruent by SSS • Using the distance formula: Prove Triangles Congruent by SSS • Using the distance formula: – With a set of points use the distance formula to find the length between two points. Prove Triangles Congruent by SSS • Using the distance formula: – With a set of points use the distance formula to find the length between two points. – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8) – RST has vertices R (10, 0) S (10, -3) T (4, 0) Prove Triangles Congruent by SSS • Using the distance formula: – With a set of points use the distance formula to find the length between two points. – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8) – RST has vertices R (10, 0) S (10, -3) T (4, 0) – Find out if the triangles are congruent. Prove Triangles Congruent by SSS • Using the distance formula: – With a set of points use the distance formula to find the length between two points. – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8) – RST has vertices R (10, 0) S (10, -3) T (4, 0) – Find out if the triangles are congruent. Prove Triangles Congruent by SSS • How to construct a congruent triangle.