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Lesson 10-8 Pages 451-454

Lesson 10-8 Pages 451-454. Translations. What you will learn!. How to graph translations of polygons on a coordinate plane. Vocabulary. What you really need to know!.

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Lesson 10-8 Pages 451-454

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  1. Lesson 10-8Pages 451-454 Translations

  2. What you will learn! How to graph translations of polygons on a coordinate plane.

  3. Vocabulary

  4. What you really need to know! A translationis the movement of a geometric figure in some direction without turning the figure. When translating a figure, every point of the original figure is moved the same distance and in the same direction.

  5. What you really need to know! To graph a translation of a figure, move each vertex of the figure in the given direction. Then connect the new vertices.

  6. Example 1: B’ A’ C’ Translate ∆ABC 5 units left and 1 unit up. A (1,-3) B (4,1) C (5,-3) B A’ (-4,-2) B’ (-1,2) C’ (0,-2) A C

  7. Example 2: Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.

  8. H I G J H' I' G (-4,1) H (-4,3) I (-2,3) J (-1,1) G’ (1,-2) H’ (1,0) I’ (3,0) J’ (4,-2) G' J'

  9. (–4 + 5, 1 – 3) G(1, –2) (–4 + 5, 3 – 3) H(1, 0) (–2 + 5, 3 – 3) I(3, 0) (–1 + 5, 1 – 3) J(4, –2)

  10. Example 3: Ana is seated at the square marked X. She is moved to the seat marked Y. Describe the translation as an ordered pair. (2,2)

  11. Page 453 Guided Practice #’s 3-5

  12. A (2,6) B (4,2) C (1,3) A' C' B' A’ (-1,3) B’ (1,-1) C’ (-2,0)

  13. D (1,0) E (-2,-2) F (2,4) G (6,-3) D’ (5,-5) E’ (2,-7) F’ (6,-1) G’ (10,-8)

  14. D (1,0) E (-2,-2) F (2,4) G (6,-3) D (7,0) E (4,-2) F (8,4) G (12,-3)

  15. Read: Pages 451-452 with someone at home and study examples!

  16. Homework: Page 453-454 #’s 6-13 all #’s 19-26 all Lesson Check 10-8

  17. H(-1,0) I (1,-3) J (-2,-4) H(1,-6) I (3,-9) J (0,-10)

  18. K(1,-1) L (1,1) M (5,1) N (5,-1) K(0,2) L (0,4) M (4,4) N (4,2)

  19. P(0,0) Q (5,-2) R (-3,6)

  20. P(0,0) Q (5,-2) R (-3,6)

  21. P(0,0) Q (5,-2) R (-3,6)

  22. P(0,0) Q (5,-2) R (-3,6)

  23. Page 589 Lesson 10-8

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