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2.6 Proving Statements about Angles

2.6 Proving Statements about Angles. Mrs. Blanco Geometry . Standards/Objectives. Standard 3: Students will learn and apply geometric concepts. Objectives: Use angle congruence properties Prove properties about special pairs of angles.

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2.6 Proving Statements about Angles

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  1. 2.6 Proving Statements about Angles Mrs. Blanco Geometry

  2. Standards/Objectives Standard 3: Students will learn and apply geometric concepts. Objectives: • Use angle congruence properties • Prove properties about special pairs of angles.

  3. Investigation of Complementary Angles

  4. Cont…

  5. Theorem 2.2 Properties of Angle Congruence

  6. 2.6--Theorems • Copy the Theorems from pages 110-112 onto your “List of Reasons”.

  7. Example 1:

  8. Statement: m1 =63˚, 1 ≅ 3,  3≅ 4 1 ≅ 4 m1 = m4 m4 = 63˚ Reason: Given Transitive prop. Def. Cong. Angles Substitution Prop. Ex. 1:

  9. Example 2:

  10. Statement: AFC, BFD are right angles; BFD≅CFE AFC≅BFD AFC≅CFE Reason: Given Right  Congurency Transitive Ex. 2:

  11. Your Assignment: • Pages 112-114 #4-9 #12-17 #26,28 #33-37

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