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

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Presentation on theme: "Prove Triangles Congruent by SSS. Side-Side-Side (SSS) Congruence Postulate:"— Presentation transcript:

1 Prove Triangles Congruent by SSS

2 Side-Side-Side (SSS) Congruence Postulate:

3 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.

4 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:

5 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.

6 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.

7 Prove Triangles Congruent by SSS Given: KL = NL, KM = NM Prove KLM = NLM K L N M

8 Prove Triangles Congruent by SSS 4 6 8 88 6

9 Show how you know LMA = LOA L M A O

10 Prove Triangles Congruent by SSS Using the distance formula:

11 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.

12 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)

13 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.

14 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.

15 Prove Triangles Congruent by SSS How to construct a congruent triangle.


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