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4-4 Using Congruent Triangles- CPCTC

4-4 Using Congruent Triangles- CPCTC. C orresponding P arts of C ongruent T riangles are C ongruent.

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4-4 Using Congruent Triangles- CPCTC

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  1. 4-4 Using Congruent Triangles- CPCTC

  2. Corresponding Parts of Congruent Triangles are Congruent *With SSS, SAS, ASA, and AAS, we know how to use three parts of triangles to show that the triangles are congruent. Once we have triangles congruent, we can make conclusions about the other parts because by definition, corresponding parts of congruent triangles are congruent.

  3. Example 1 (Do Not copy, just listen)

  4. Statements 1. ∠EDG ≌ ∠EDF 2. 3. are right angles 4. 5. 6. EF ≌ EG Example 2 Given: ∠DEG and ∠DEF are right angles, and ∠EDG ≌ ∠EDF Prove: EF ≌ EG Reasons 1. Given 2. Reflexive Property 3. Given 4. All right angles are congruent 5. ASA 6.CPCTC

  5. Proofs with CPCTC Reasons 1. Given 2. Reflexive Property 3. AAS 4. CPCTC Statements 1. and 2. PS SP 3. 4. SQ PR

  6. Statements 1. and 2. 3. 4. AC BC 5. 6. 7. PA = PB Reasons 1. Given 2. Def. of 3. All right angles are congruent 4. Def. of Segment Bisector 5. Reflexive Property 6. SAS 7. CPCTC

  7. Pg. 204 – 207 #’s 2-4, 6-12, 14, 23 Homework

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