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NAME 3-6 DATE PERIOD Perpendiculars and Distance What You’ll Learn Scan the text under the Now heading. List two things you will learn about in this lesson. 1. ____________________________________________________ 2. ____________________________________________________ ____________________________________________________ Active Vocabulary parallel lines skew Review Vocabulary Write the definition next to each term. (Lesson 2-4) ———————————————————————————— ———————————————————————————— Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. New Vocabulary Fill in each blank with the correct term or phrase. equidistance The between two measured along a always lines when line to the lines is . Vocabulary Link Equidistance is a word that is used in everyday English. Find the definition of equidistance using a dictionary. Explain how the English definition can help you remember how equidistance is used in mathematics. ———————————————————————————— ———————————————————————————— ———————————————————————————— ———————————————————————————— Chapter 3 51 Glencoe Geometry Lesson 3-6 ____________________________________________________ NAME DATE PERIOD Lesson 3-6 (continued) Main Idea Distance from a Point to a Line pp. 213–216 Details Summarize the steps to find the distance between a point p and a line ℓ on a coordinate plane. Find the Distance between a Point and a Line. Step 1: Write an for the line ℓ. Step 2: Write an for the perpendicular line that goes through point p Step 3: Use to find the coordinates where line ℓ perpendicular line. the Step 4: Use the to find the distance between point P and the point of intersection of the two lines. Fill in each blank to find the distance between the parallel lines. 1. y = 3x – 7 The lines are units apart. The lines are units apart. y = 3x + 4 2. y = –2x – 8 y = –2x + 2 Helping You Remember Use your dictionary to find the meaning of the Latin root aequus. List three words that are derived from this root and give meaning to each. ———————————————————————————————————————— ———————————————————————————————————————— ———————————————————————————————————————— Chapter 3 52 Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Distance Between Parallel Lines pp. 216–217