Prove Triangles Congruent by SSS. Side-Side-Side (SSS) Congruence Postulate:

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Presentation transcript:

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 Prove KLM = NLM K L N M

Prove Triangles Congruent by SSS

Show how you know LMA = LOA L M 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.