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Answers to Homework

Answers to Homework. 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX. 14-3 Translations and Glide Reflections. Translation. Glides all points the same distance in the same direction Preserves size, shape, and orientation. Example. Original (1,-2)

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Answers to Homework

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  1. Answers to Homework 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX

  2. 14-3 Translations and Glide Reflections

  3. Translation • Glides all points the same distance in the same direction • Preserves size, shape, and orientation

  4. Example • Original (1,-2) • Glide 2 units to the right and 1 unit down. • Image (3,-3) • Mapping T(x,y)→(x+2,y-1)

  5. Example 2 • Given P(-1,2) and P’(2,5), what translation did the preimage undergo? • (-1+ 3,2+ 3) = (2,5) • T(x,y)→(x+3,y+3)

  6. TOO: Hint (Always write out the mapping) 1) Given S(-1,3) and S’(1,5) a) Write out the mapping for this translation b) T(2,-3)→ c) Find the preimage of (0,-2) 2) T(2,2)→(-2,-2) then T(4,4)→ 3) The image of R(4,-3) under a translation is R’(0,-1). What is the preimage of Q’(2,-2)?

  7. Answers TOO 1) Given S(-1,3) and S’(1,5) a) T(x,y)→(x+2,y+2) b) T(2,-3)→(4,-1) c) Find the preimage of (0,-2) (-2,-4) 2) T(2,2)→(-2,-2) then T(4,4)→(0,0) 3) The image of R(4,-3) under a translation is R’(0,-1). What is the preimage of Q’(2,-2)? (6,-4)

  8. Glide Reflection • A translation followed by a reflection. • TOO: A glide reflection moves all points down 3 units and reflects all points over the x-axis. Find the image of A(2,-1) B(1,1) C(3,3). • Answers: • After translation: A’(2,-4) B’(1,-2) C’(3,0) • Final Answer: A’’(2,4) B’’(1,2) C’’(3,0)

  9. Homework • Page 586 #1-8

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