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Does the transformation appear to be an isometry? Explain.

Translations. LESSON 9-1. Additional Examples. Does the transformation appear to be an isometry? Explain. The image appears to be the same as the preimage, but turned. . Because the figures appear to be congruent, the transformation appears to be an isometry. Quick Check.

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Does the transformation appear to be an isometry? Explain.

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  1. Translations LESSON 9-1 Additional Examples Does the transformation appear to be an isometry? Explain. The image appears to be the same as the preimage, but turned. Because the figures appear to be congruent, the transformation appears to be an isometry. Quick Check

  2. a. Name the images ofB and C. b. Because corresponding sides of the preimage and the image are listed in the same order, the following pairs are corresponding sides: AB and XY, AC and XZ, BC and YZ. a. Because corresponding vertices of the preimage and the image are listed in the same order, Y is the image of B, and Z is the image of C. Translations LESSON 9-1 Additional Examples In the diagram, XYZ is an image of ABC. b. List all pairs of corresponding sides. Quick Check

  3. Use the rule to find each vertex in the translated image. The image of ABC is A'B'C' with A'(0, 3), B'(–1, –2), C'(1, 0). Translations LESSON 9-1 Additional Examples Find the image of ABC under the translation (x, y)  (x + 3, y – 1). A(–3, 4) translates to (–3 + 3, 4 – 1), or A'(0, 3). B(–4, –1) translates to (–4 + 3, –1 – 1), or B'(–1, –2). C(–2, 1) translates to (–2 + 3, 1 – 1), or C'(1, 0). Quick Check

  4. Write a rule to describe the translation ABCA B C . You can use any point on ABC and its image on A B C to describe the translation. Using A(–4, 1) and its image A(2, 0), the horizontal change is 2 – (–4), or 6, and the vertical change is 0 – 1, or –1. The translation vector is 6, –1, so the rule is (x, y) (x + 6, y – 1). Translations LESSON 9-1 Additional Examples Quick Check

  5. Translations LESSON 9-1 Additional Examples 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 vector 3, 5 represents a ride of 3 blocks north and 5 blocks east. The vector –4, –8 represents a ride of 4 blocks south and 8 blocks west. Tritt’s position after the second delivery is the sum of the vectors. 3, 5 + –4, –8 = 3 + (–4), 5 + (–8) = –1, –3, so Tritt is 1 block south and 3 blocks west of the pharmacy. Quick Check

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