Lesson 9-1 - Fort Bend ISD

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Name_____________________________________ Class____________________________ Date________________ 2 Naming Images and Corresponding Parts In the diagram, XYZ is an image of ABC. a. Name the images of B and C. B C Z Y Because corresponding vertices of the preimage and the image are listed in the same order, the image of B is , and the image of C is . A X b. List all pairs of corresponding sides. Because corresponding sides of the preimage and the image are listed in the same order, the following pairs are corresponding sides: 3 AB and , AC and , BC and . Finding a Translation Image Find the image of ABC under the translation (x, y) → (x 2, y 3). A(1, 2) → A( , 3) Use the rule (x, y ) → (x 2, y 3) B(1, 0) → B( 2, ) C(0, 1) → C( , ) The image of ABC is ABC with A( , ),B( , ), and C( , ). Quick Check. 1. Does the transformation appear to be an isometry Explain. a. b. Preimage Preimage Image 2. In the diagram, NID S SUP. a. Name the images of I and point D. Image S A C U N y B x P I © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. D 162 Geometry <strong>Lesson</strong> 9-1 Daily Notetaking Guide
Name_____________________________________ Class____________________________ Date ________________ b. List all pairs of corresponding sides. 3. Find the image of ABC for the translation (x 2, y 1). © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Examples. 4 5 Writing a Rule to Describe a Translation Write a rule to describe the translation ABC S ABC. You can use any point on ABC and its image on ABC to describe the translation. Using A(4, 1) and its image , the horizontal change is 2 ( ), or , and the vertical change is 0 , or . The rule is (x, y) S . Adding Translations Tritt rides his bicycle 3 blocks north and 5 blocks east of a pharmacy to deliver a prescription. Then he rides 4 blocks south and 8 blocks west to make a second delivery. How many blocks is he now from the pharmacy The rule The rule west. Tritt’s position after the second delivery is the translations. represents a ride of 3 blocks north and 5 blocks east. represents a ride of 4 blocks south and 8 blocks of the two ( , ) translates to ( , ) or ( , ). Then, ( , ) translates to ( , ) or ( , ). Tritt is block and blocks of the pharmacy. A 4 B 4 2 C 2 2 4 y A 2 B x C Daily Notetaking Guide Geometry <strong>Lesson</strong> 9-1 163
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Lesson 9-1 - Fort Bend ISD

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