3-1 Lines and Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

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  • 3-1 Lines and Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz
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  • Warm Up 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 coplanar points supplementary angles point linear pair 3.1 Lines and Angles
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  • Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal. Objectives 3.1 Lines and Angles
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  • parallel lines perpendicular lines skew lines parallel planes transversal corresponding angles alternate interior angles alternate exterior angles same-side interior angles Vocabulary 3.1 Lines and Angles
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  • Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew. Helpful Hint 3.1 Lines and Angles
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  • 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 LM ||QR KN and PQ NS SP plane NMR || plane KLQ 3.1 Lines and Angles
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  • Check It Out! Example 1 Identify each of the following. a. a pair of parallel segments b. a pair of skew segments d. a pair of parallel planes c. a pair of perpendicular segments BF || EJ BF and DE are skew. BF FJ plane FJH || plane BCD 3.1 Lines and Angles
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  • Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles 1 and 5 D. same-side interior angles 3 and 5 1 and 7 3 and 6 3.1 Lines and Angles
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  • Check It Out! Example 2 Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles 1 and 3 D. same-side interior angles 2 and 7 1 and 8 2 and 3 3.1 Lines and Angles
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  • To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. Helpful Hint 3.1 Lines and Angles
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  • Example 3: 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 transversal l corr. s transversal n alt. int s transversal m alt. ext s 3.1 Lines and Angles
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  • Check It Out! Example 3 Identify the transversal and classify the angle pair 2 and 5 in the diagram. transversal n same-side int. s. 3.1 Lines and Angles
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  • Lesson Quiz: Part I Identify each of the following. 1. a pair of parallel segments 2. a pair of skew segments 3. a pair of perpendicular segments 4. a pair of parallel planes EH || FG BF and EH CG GH ABC and EFG 3.1 Lines and Angles
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  • Lesson Quiz: Part II Identify each of the following. 5. one pair alternate interior angles 6. One pair corresponding angles 7. one pair alternate exterior angles EHG and HGK 8. one pair same-side interior angles EHG and FGJ IHE and JGK EHG and HGF 3.1 Lines and Angles

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