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Five-Minute Check (over Lesson 2–7) CCSS Then/Now Postulate 2.10: Protractor Postulate Postulate 2.11: Angle Addition Postulate Example 1: Use the Angle Addition Postulate Theorems 2.3 and 2.4 Example 2: Real-World Example: Use Supplement or Complement Theorem 2.5: Properties of Angle Congruence Proof: Symmetric Property of Congruence Theorems 2.6 and 2.7 Proof: One Case of the Congruent Supplements Theorem Example 3: Proofs Using Congruent Comp. or Suppl. Theorems Theorem 2.8: Vertical Angles Theorem Example 4: Use Vertical Angles Theorems 2.9–2.13: Right Angle Theorems Lesson Menu

G.CO.9 Prove theorems about lines and angles. Mathematical Practices Content Standards G.CO.9 Prove theorems about lines and angles. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. CCSS

You identified and used special pairs of angles. Write proofs involving supplementary and complementary angles. Write proofs involving congruent and right angles. Then/Now

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Adjacent supplementary angles are also called “Linear Pair.” Definition Linear Pair:   Adjacent supplementary angles are also called “Linear Pair.” Non-Adjacent Angles Supplementary Angles

Definition Supplementary:   Adjacent Angles Non-Adjacent Angles Supplementary Angles

Definition of Complementary:   Adjacent Angles Non-Adjacent Angles

Given: line AC intersects line BD Prove: Statements Reasons

When two lines intersect 2 pairs of vertical angles are formed Definition Vertical:   When two lines intersect 2 pairs of vertical angles are formed   Vertical angles are non-adjacent angles formed by intersecting lines.

Given:   Prove:   Statements Reasons

HOMEWORK Pgs. 156-159 #’s 1-4, 6, 7-15,

End of the Lesson

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NOTE: DO NOT USE ANY OF THEOREMS 2.9-2.13 IN PROOFS HOMEWORK Prove Theorems 2.9 -2.13 NOTE: DO NOT USE ANY OF THEOREMS 2.9-2.13 IN PROOFS