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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 3.1 Lines and Angles 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 Objectives 3.1 Lines and Angles
Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal.

4 Vocabulary 3.1 Lines and Angles parallel lines perpendicular lines
skew lines parallel planes transversal corresponding angles alternate interior angles alternate exterior angles same-side interior angles

5 3.1 Lines and Angles

6 3.1 Lines and Angles 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
3.1 Lines and Angles Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments LM ||QR B. a pair of skew segments KN and PQ C. a pair of perpendicular segments NS  SP D. a pair of parallel planes plane NMR || plane KLQ

8 3.1 Lines and Angles Check It Out! Example 1
Identify each of the following. a. a pair of parallel segments BF || EJ b. a pair of skew segments BF and DE are skew. c. a pair of perpendicular segments BF  FJ d. a pair of parallel planes plane FJH || plane BCD

9 3.1 Lines and Angles

10 Example 2: Classifying Pairs of Angles
3.1 Lines and Angles Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles 1 and 5 B. alternate interior angles 3 and 5 C. alternate exterior angles 1 and 7 D. same-side interior angles 3 and 6

11 3.1 Lines and Angles Check It Out! Example 2
Give an example of each angle pair. A. corresponding angles 1 and 3 B. alternate interior angles 2 and 7 C. alternate exterior angles 1 and 8 D. same-side interior angles 2 and 3

12 3.1 Lines and Angles To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. Helpful Hint

13 Example 3: Identifying Angle Pairs and Transversals
3.1 Lines and Angles Example 3: Identifying Angle Pairs and Transversals Identify the transversal and classify each angle pair. A. 1 and 3 transversal l corr. s B. 2 and 6 transversal n alt. int s C. 4 and 6 transversal m alt. ext s

14 3.1 Lines and Angles 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.

15 3.1 Lines and Angles 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

16 3.1 Lines and Angles 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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