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1.3d: Angle Pairs

1.3d: Angle Pairs. Common Core State Standards for Mathematical Content Congruence G-CO Prove geometric theorems [ Focus on validity of underlying reasoning while using variety of ways of writing proofs ].

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1.3d: Angle Pairs

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  1. 1.3d: Angle Pairs Common Core State Standards for Mathematical Content Congruence G-CO Prove geometric theorems [Focus on validity of underlying reasoning while using variety of ways of writing proofs] G-CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; alternate interior angles are congruent and corresponding angles are congruent;.

  2. Activity (handout): – Exploring Angle Relationships Questions 1 - 6

  3. Types of Angle Relationships • Adjacent Angles • Vertical Angles • Linear Pairs • Supplementary Angles • Complementary Angles

  4. 1) Adjacent Angles • Adjacent Angles - Angles sharing one side that do not overlap

  5. 2)Vertical Angles • Vertical Angles - 2 non-adjacent angles formed by 2 intersecting lines (across from each other). They are CONGRUENT !! 1

  6. 3) Linear Pair • Linear Pairs – adjacent angles that form a straight line. Create a 180o angle/straight angle.

  7. 4) Supplementary Angles • Supplementary Angles – two angles that add up to 180o (the sum of the 2 angles is 180) How are they different from linear pairs?

  8. 5) Complementary Angles • Complementary Angles – the sum of the 2 angles is 90o 58 + 32 = 90

  9. Find the unknown angle measures

  10. Handout – Part II

  11. The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.

  12. In class practice: Study guide 1-7 Homework: Page 59: 15-25, 28-31

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