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CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,

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Presentation on theme: "CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,"— Presentation transcript:

1 CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.

2 CONGRUENT TRIANGLES Side-Angle-Side Postulate 4.2 (SAS) Side-Angle-Side Congruence: If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

3 EXAMPLE CONGRUENT TRIANGLES Determine which postulate(s) can be used to prove that the triangles are congruent. If it is not possible, say not possible. Side-Side-Side (SSS) AND Side-Angle-Side (SAS) Step 1 Check for congruency by SSS Step 2 Check for congruency by SAS Congruent by Side-Side-Side (SSS) Congruent by Side-Angle-Side (SAS)

4 YOU TRY Using SSS or SAS test to see if Step 1 Determine what we know Since we only know that two sides are congruent we can not use SSS Step 2 Check congruence using SAS Because the congruent line segments do not coordinate with the name

5 The End Homework Worksheet Page 204: 4-7ALL Worksheet Page 205: 1(a-c), 2(a-d)


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