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Published byNicholas Patrick Modified over 6 years ago
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5.2 Proving Triangles are Congruent by SSS and SAS
Remember: CONGRUENCE means that two figures (triangles, side lengths, or angle measures) are exactly the same SIZE and exactly the same SHAPE.
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Side-Side-Side Congruence Postulate
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
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Example 1 Does the diagram give enough information to show that the triangles are congruent? Explain.
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Side-Angle-Side Congruence Postulate (SAS)
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 two triangles are congruent.
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Example 2 (a) Does the diagram give enough information to use the SAS Congruence Postulate? Explain your reasoning.
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Example 2 (b) Does the diagram give enough information to use the SAS Congruence Postulate? Explain your reasoning.
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PROOF Convincing argument that shows why a statement is true.
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Example 3: Write a Proof
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Example 4
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