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Ways to prove triangles congruent:

Ways to prove triangles congruent:. By definition (all 6 parts) By rigidity (SSS, SAS, ASA, AAS, HL). What is true once triangles are congruent?. The Corresponding parts of the congruent triangles are congruent! “CPCTC” The triangles MUST be congruent FIRST.

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Ways to prove triangles congruent:

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  1. Ways to prove triangles congruent: • By definition (all 6 parts) • By rigidity (SSS, SAS, ASA, AAS, HL)

  2. What is true once triangles are congruent? • The Corresponding parts of the congruent triangles are congruent! • “CPCTC” • The triangles MUST be congruent FIRST

  3. Given:YW bisects XZ, XY YZ. Z Example 1 Prove:XYW  ZYW

  4. Given:NO || MP, N P Prove:MN || OP Example 3: Using CPCTC in a Proof

  5. Example 4: Using CPCTC In the Coordinate Plane Given:D(–5, –5), E(–3, –1), F(–2, –3), G(–2, 1), H(0, 5), and I(1, 3) Prove:DEF  GHI Step 1 Plot the points on a coordinate plane.

  6. Step 2 Use the Distance Formula to find the lengths of the sides of each triangle.

  7. So DEGH, EFHI, and DFGI. Therefore ∆DEF  ∆GHI by SSS, and DEF  GHI by CPCTC.

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