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NAME DATE 3-1 PERIOD Parallel Lines and Transversals What You’ll Learn Skim the Examples for Lesson 3-1. Predict two things you think you will learn about parallel lines and transversals. 1. ____________________________________________________ 2. ____________________________________________________ ____________________________________________________ Active Vocabulary parallel lines Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. transversal New Vocabulary Use the figure to complete each statement. t t is a ∠ 2 and ∠ 6 are exterior angles ∠ 4 and ∠ 5 are a and b are . 5 . 4 6 7 8 2 a b . . alternative interior angles ∠ 4 and ∠ 6 are alternate exterior angles ∠ 2 and ∠ 7 are corresponding angles 3 ∠ 1 and ∠ 7 are interior angles consecutive interior angles 1 . ∠ 5 and ∠ 6 are . . . Vocabulary Link Skew is a word used in everyday English as well as in mathematics. Look up skew in the dictionary. Explain how the English definition can help you remember how skew is used in mathematics. ———————————————————————————— ———————————————————————————— Chapter 3 41 Glencoe Geometry Lesson 3-1 ____________________________________________________ NAME DATE PERIOD Lesson 3-1 (continued) Main Idea Relationships Between Lines and Planes pp. 171–172 Details Summarize information about parallel lines and skew lines in the graphic organizer below. What are parallel lines? How are parallel lines and skew lines similar? Parallel Lines How are parallel lines and skew lines different? Skew Lines What are skew lines? Model a transversal t which intersects two or more parallel lines. Identify consecutive interior angles, alternative interior and exterior angles, and corresponding angles. Helping You Remember Look up meaning of the prefix trans- in the dictionary. Write down 4 words that have trans- as a prefix. How can the meaning of the prefix help you remember the meaning of transversal? ————————————————————————————————————————— ————————————————————————————————————————— Chapter 3 42 Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Transversal Angle Pair Relationships pp. 172–173