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Transformations: Translation

Transformations: Translation. Unit 4.03. Vocabulary. Translation: A transformation that moves every point in a figure the same distance in the same direction. Example: The blue polygon has been Translated to the right 5 units and up 4 units (landing on the red polygon). Vocabulary.

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Transformations: Translation

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  1. Transformations: Translation Unit 4.03

  2. Vocabulary • Translation: A transformation that moves every point in a figure the same distance in the same direction. • Example: The blue polygon has been Translated to the right 5 units and up 4 units (landing on the red polygon).

  3. Vocabulary • Translation Notation: You can identify the direction and distance of a translation (aka the translation rule) without seeing a picture of it, simply by writing it in translation notation! • Example: BlueRed (x, y)  (x+5, y+4)

  4. You Try It!

  5. 1) The translation rule of the BLUE triangle, ΔABC, to the RED triangle, ΔA’B’C’ in Transformation Notation is given. Write what is happening in words. (x, y)  (x–4, y+5) ΔABC was moved left 4 units and up 5 units.

  6. 2) The translation rule of the BLUE square, SERQ, to the RED square, S’E’R’Q’ in Transformation Notation is given. Write what is happening in words. (x, y)  (x–2, y+3) Square SERQ was moved 2 units to the left and 3 units up.

  7. 3) The translation rule of the BLUE triangle, ΔTRI, to the RED triangle, ΔT’R’I’ in Transformation Notation is given. Write what is happening in words. (x, y)  (x+6, y–4) ΔTRI was moved to the right 6 units and down 4 units.

  8. 4) Graph the Image of ΔABC according to the given information below: A(5,5), B(-1,4), C(3,0) and (x,y)  (x–2,y–3) A B A’ B’ C C’

  9. 5) Without graphing ΔABC, find the coordinates of ΔA’B’C’ according to the information given below: A(-3,5), B(1,2), & C(5,4) and (x,y)  (x+4,y–5) A’(1,0), B’(5,-3), & C’(9,-1)

  10. Vocabulary • Transformation (Prime) Notation cont.: In transformation notation, the use of (‘) designates the translated (moved) Image. Repeated transformations result in (“) and even (“’) being used! (prime, double prime, triple prime) • Example: Let’s See how much you know! 1) If A(2, 4) and (x,y)(x+2,y-2), what is A’? 2) * What would A” be? (4,2) (6,0)

  11. Put It All Together!

  12. 6) Move ΔABC 5 units to the left and 3 units up. List the coordinates below. (6, 5) A: _____________ B: _____________ C: ____________ A’: ____________ B’: ____________ C’: ____________ A’ (5, -5) A C’ (-2, 1) C (1, 8) B’ (0, -2) B (-7, 4)

  13. Move ΔPQR 6 units down and 4 units to the right. List the coordinates below. 7) (-5, 7) P: _____________ Q: ____________ R: ____________ P’: ____________ Q’: ____________ R’: ____________ P (-2, 4) Q (-9, 2) P’ R (-1, 1) Q’ (2, -2) R’ (-5, -4)

  14. Move ΔXYZ 10 units down and 3 units to the right. Draw both images and list the missing coordinates below. 8) (1, 9) X: _____________ Y: _____________ Z: ____________ X’: ____________ Y’: ____________ Z’: ____________ X (1, 5) Y (-9, 2) Z (4, -1) X’ (4, -5) Y’ (-6, -8) Z’

  15. Describe the translation shown below in words. ΔJKL ΔJ’K’L’ 9) L’ ΔJKL was moved 4 units to the left and 7 units up! K’ J’ L K J

  16. Homework Time  Slide It! -- Translations WS

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