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Possible Answers to Homework

Possible Answers to Homework. 2) R O,345 4) R B,0 If you would like to check any other answers, ask . 14-5 Dilations. Answers to Warm Up 1) (-5,0) 2) (0,2) 3) R O,90 (x,y) → (-y,x) 4) (3,1). Dilation. Expands or contracts a preimage Always creates similar shapes

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Possible Answers to Homework

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  1. Possible Answers to Homework 2) RO,345 4) RB,0 If you would like to check any other answers, ask 

  2. 14-5 Dilations Answers to Warm Up 1) (-5,0) 2) (0,2) 3) RO,90(x,y) → (-y,x) 4) (3,1)

  3. Dilation • Expands or contracts a preimage • Always creates similar shapes • Congruent Angles • Proportional Sides

  4. Example: Expansion (makes the pre-image bigger) • DB,2 DO,2 (2,-3) (4,-6) 2 times bigger Multiply by 2 From Origin From point B Corresponding Lines are Parallel B

  5. TOO: Find and Graph each Image A(4,4) B(2,2) C(3,0) 1) DO,2 2) DO,-3 3) DO,1/2 Answers: 1) A’(8,8) B’(4,4) C’(6,0) 2) A’(-12,-12) B’(-6,-6) C’(-9,0) 3) A’(2,2) B’(1,1) C’(1.5,0)

  6. Follow-up Questions DO,k k is called the scale factor • Based on TOO 1 and 2, does a dilation preserve orientation? • Yes if k = positive • No if k = negative • What is TOO 3 called? • Contraction – makes pre-image smaller • |k| > 1 Expansion • |k| < 1 Contraction • What does a dilation preserve? • Shape (not size or orientation) • NOT an isometry!

  7. Homework • Page 596 #1-6, 9-12 • Start Final Review • Do each chapter on a separate paper • Each chapter is worth one homework assignment (4 points) • Chapter 7-9 are due Monday • Chapter 11-14 are due Tuesday

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