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

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

2 Do Now 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

3 Objectives TSW identify parallel, perpendicular, and skew lines.
TSW identify the angles formed by two lines and a transversal.

4 Vocabulary parallel lines perpendicular lines skew lines
parallel planes transversal corresponding angles alternate interior angles alternate exterior angles same-side interior angles

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6 Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew. Helpful Hint

7 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

8 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

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10 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

11 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

12 To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. Helpful Hint

13 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

14 Example 6 Identify the transversal and classify the angle pair 2 and 5 in the diagram.

15 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

16 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 8. one pair same-side interior angles

17 Lesson Quiz: Part I Identify each of the following. 1. a pair of parallel segments EH || FG 2. a pair of skew segments BF and EH 3. a pair of perpendicular segments CG  GH 4. a pair of parallel planes ABC and EFG

18 Lesson Quiz: Part II Identify each of the following. 5. one pair alternate interior angles EHG and HGK 6. One pair corresponding angles EHG and FGJ 7. one pair alternate exterior angles IHE and JGK 8. one pair same-side interior angles EHG and HGF


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