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Alternate exterior angles converse - PowerPoint PPT Presentation

Chapter 3

Chapter 3

Chapter 3. Perpendicular and Parallel Lines. Chapter Objectives. Identify parallel lines Define angle relationships between parallel lines Develop a Flow Proof Use Alternate Interior, Alternate Exterior, Corresponding, & Consecutive Interior Angles

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Jeopardy

Jeopardy

Jeopardy. Chapter 1. Chapter 2. Chapter 3. Chapter 4. Chapter 5. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400. Q $400. Q $400. Q $400. Q $400. Q $500. Q $500. Q $500. Q $500. Q $500.

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Define Parallel Lines

Define Parallel Lines

Define Parallel Lines . Coplanar lines that do not intersect. Define Skew Lines. Lines that do not intersect and are not coplanar. What angles are marked?. Corresponding Angles. What angles are marked?. Alternate Interior Angles. What angles are marked?. Consecutive Interior Angles.

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2. Write the converse of the following statement. If it is raining, then Josh needs an umbrella.

2. Write the converse of the following statement. If it is raining, then Josh needs an umbrella.

1. Find the value of x. 32. ANSWER. If Josh needs an umbrella, then it is raining. ANSWER. 2. Write the converse of the following statement. If it is raining, then Josh needs an umbrella. ALGEBRA. Find the value of x that makes m n. = 65 o. (3 x + 5) o. 3 x. = 60. x. = 20.

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September 29, 2014

September 29, 2014

September 29, 2014. Take out your homework, do not turn in Get ready for a warm-up. Warm-up.

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EXAMPLE 3

EXAMPLE 3

Prove that if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. ? 4 ? 5. GIVEN :. g h. PROVE :. EXAMPLE 3. Prove the Alternate Interior Angles Converse. SOLUTION. REASONS. STATEMENTS. 1. g h. 1. Given. 2. 2.

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Essential Question

Essential Question

Essential Question. What postulate(s) can be used for the diagram?. Parallel Lines, Transversals and Angles. Corresponding Angles Postulate- If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Angles 1 and 5 are congruent

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EXAMPLE 2

EXAMPLE 2

Snake Patterns. How can you tell whether the sides of the pattern are parallel in the photo of a diamond-back snake?. EXAMPLE 2. Solve a real-world problem. SOLUTION. Because the alternate interior angles are congruent, you know that the sides of the pattern are parallel. ANSWER.

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