'Corresponding angles postulate' presentation slideshows

Geometry 3.3

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Warm Up State the converse of each statement. 1. If a = b , then a + c = b + c .

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Warm Up State the converse of each statement. 1. If a = b , then a + c = b + c .

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Properties of Parallel Lines

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Warm Up

Warm Up. State the converse of (1) and (2): 1. If ?1 is a right angle, then m?1 = 90. 2. If m?1 + m?2 = 180, then ?1 and ?2 are supplementary. State the hypothesis and conclusion of theorem 3.1. 41. If I go fishing, I will not have to work. 42. 67 43. 21 44. 70. Homework. 33. 130

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Splash Screen

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Proving Lines Parallel (3-3)

Proving Lines Parallel (3-3). Pg. 162. Example 1A: Using the Converse of the Corresponding Angles Postulate. Use the Converse of the Corresponding Angles Postulate and the given information to show that ? || m . ? 4 ? ? 8. ? 4 ? ? 8 ? 4 and ?8 are corresponding angles.

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Drill: Monday, 11/7 Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7

Drill: Monday, 11/7 Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7 OBJ: Prove theorems about the angles formed by parallel lines and a transversal. Angles Formed by Parallel Lines and Transversals. 3-2. Warm Up. Lesson Presentation. Lesson Quiz.

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Explain why m ? 4 > m ? 5.

? 2 and ? 5 are corresponding angles formed by AB and XY cut by transversal BC . Because AB || XY , you can conclude that ? 2 ? 5 by the Corresponding Angles Postulate. Thus, m ? 2 = m ? 5. Inequalities in Triangles. LESSON 5-5. Additional Examples. Quick Check.

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