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Proving Triangles Congruent

Proving Triangles Congruent. Section 4.4. Possible Ways to Prove:. All corresponding sides/angles are congruent SSS, SAS, ASA, AAS, HL. Basic Proof Format. Statements. REASONS WHY. 1. congruent pair 2. congruent pair 3. congruent pair 4. ∆ABC ≅ ∆DEF. 1. 2. 3.

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Proving Triangles Congruent

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  1. Proving Triangles Congruent Section 4.4

  2. Possible Ways to Prove: • All corresponding sides/angles are congruent • SSS, SAS, ASA, AAS, HL

  3. Basic Proof Format Statements REASONS WHY 1. congruent pair 2. congruent pair 3. congruent pair 4. ∆ABC ≅ ∆DEF 1. 2. 3. 4. SSS,SAS, ASA, AAS, or HL

  4. Common “Reasons” • “Given” in the problem • “Reflexive Property” Ex) AB = AB • Vertical Angles are congruent • “Transitive Property” • Definition of midpoint • Definition of bisector • Definition of perpendicular

  5. #1 Prove ∆HJN≅∆RFD

  6. #2 Prove ∆ABC≅∆DEF

  7. #3 Prove ∆KMO≅∆OLK

  8. #4 Prove ∆CBA≅∆CDE

  9. CPTC • “Corresponding Parts of Congruent Triangles” If you can prove that the triangles are congruent, then you can state that each piece is congruent

  10. #5 Prove that ∠A ≅ ∠D

  11. Prove: ABC EDC

  12. B and D are right angles.

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