Exploration 1 Worksheet

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Presentation transcript:

Exploration 1 Worksheet Daily Warm Up Exploration 1 Worksheet Do not start the partner work until given the go ahead

Proofs with Parallel Lines Notes 3.3 Goals: Use the Corresponding Angles Converse Prove theorems about parallel lines Use the Transitive Property of Parallel Lines

Corresponding Angles Converse Core Concept Corresponding Angles Converse If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. Given: So by the corresponding angles converse we can conclude…

Using the Corresponding Angles Converse Example 1. Using the Corresponding Angles Converse Find the value of x that makes .

Alternate Interior Angles Converse Core Concept Alternate Interior Angles Converse If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel Given: So by the alternate interior angles converse we can conclude…

Alternate Exterior Angles Converse Core Concept Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. Given: So by the alternate exterior angles converse we can conclude…

Consecutive Interior Angles Converse Core Concept Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. Given: & are supplementary So by the consecutive interior angles converse we can conclude…

Proving Alternate Interior Angles Converse Example 2. Proving Alternate Interior Angles Converse Use the diagram to prove Alternate Interior Angles Converse. Statements Reasons

Determining whether Lines are Parallel Example 3. Determining whether Lines are Parallel In the diagram, is congruent to . Prove . Statements Reasons

Transitive Property of Parallel Lines Core Concept Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other. Given: So by the consecutive interior angles converse we can conclude…

Example 4. refer to online 3.3 tutorial Using the Transitive Property of Parallel Lines The flag of the United States has 13 alternating red white stripes. Each stripe is parallel to the stripe immediately below it. Explain why the top stripe is parallel to the bottom stripe. Do not have students write down example. Have them write “example 4: refer to online 3.3 tutorial”

Practice Extra Practice – In Class Worksheet Hw #17 part 1– Big Ideas TB Pg. 142 # 1, 3-8, 10, 11, 13-18, 21-24