Chapter 3: Parallel and Perpendicular Lines - smilardo ? Â· Chapter 3: Parallel and Perpendicular Lines ... Section 3.1: Lines and Angles ... c. a pair of perpendicular segments d. a pair of parallel planes

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Geometry B Name:______________________ Date: ___________ Chapter 3: Parallel and Perpendicular Lines Essential Question: How is deductive reasoning used to make, investigate, and prove conjectures in the real world? How do reasoning and proofs lead to a better understanding of geometric concepts? Essential Question: How does writing 2-column proofs relate to drawing conclusions in real life? How do geometric relationships help solve real-world problems? Essential Question: How do geometric relationships and measurements help solve real-world problems? Section 3.1: Lines and Angles Are you ready? Identify each of the following. 1. points that lie in the same plane 2. two angles whose sum is 180 3. the intersection of two distinct intersecting lines 4. a pair of adjacent angles whose non-common sides are opposite rays Objectives of Lesson: ________________________________________ _________________________________________________________ _________________________________________________________ Chapters: 1, 3, 4, 5, 6, 7, 8 9, 10, 11 2 Parallel, Perpendicular and Skew Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments B. a pair of skew segments C. a pair of perpendicular segments D. a pair of parallel planes 3 Example 2: Identify each of the following. a. a pair of parallel segments b. a pair of skew segments c. a pair of perpendicular segments d. a pair of parallel planes Angle Pairs Formed by a Transversal 4 Example 3: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles D. same-side interior angles Example 4: Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles D. same-side interior angles Example 5: Identifying Angle Pairs and Transversals Identify the transversal and classify each angle pair. A. 1 and 3 B. 2 and 6 C. 4 and 6 Helpful Hint ______________________________________________ __________________________________________________________________________________________________________________ 5 Example 6: Identify the transversal and classify the angle pair 2 and 5 in the diagram. Ready for a quiz? smilardo.wordpress.com - homework: worksheets: link to book and more

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