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Do Now

Do Now. 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3 ) Translate (2,1) 4 units up and 1 unit left 4)Write the translation algebraically. Review Homework. Questions?. Reflections.

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Do Now

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  1. Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation algebraically

  2. Review Homework • Questions?

  3. Reflections Objective: Describe reflections in the coordinate plane in algebraic terms, find new coordinates of translated polygons, and graph the reflections.

  4. What is a reflection?

  5. ∆ABC underwent a change and became ∆A’B’C’. Describe the change. C A B B’ A’ C’

  6. Reflection • A reflection flips a figure over a line. y x

  7. (-1, 2) Verbal to algebraic a) reflected over the x axis (x, y)  (___________) New coordinates: ( )

  8. (-1, 2) Verbal to algebraic b) Reflected across the y-axis (x, y)  (___________) New coordinates: ( )

  9. (-1, 2) Verbal to algebraic c) Reflected over the origin (x, y)  (___________) New coordinates: ( )

  10. (-1, 2) Verbal to algebraic d) Reflected over the line y = x (x, y)  (___________) New coordinates: ( )

  11. (-1, 2) Verbal to algebraic • e) Translated 3 units down and 1 unit left, then reflected over the line y = x (x, y)  (___________) New coordinates: ( )

  12. (2, 1) Algebraic to Verbal a) (x, y) (-x, y) _______________________ New coordinates: ( )

  13. (2, 1) b) (x, y) (-x, -y) ______________________ New coordinates: ( ) Algebraic to Verbal

  14. (2, 1) c) (x, y) (y, x) _______________________ New coordinates: ( ) Algebraic to Verbal

  15. Special Reflections • Reflection across x– axis: • Reflection across y – axis: • Reflection over origin: • Reflection over line y = x: (x, y )  (x, -y) (x, y )  (-x, y) (x, y )  (-x, -y) (x, y )  (y, x)

  16. 1. A’B’C’ is the image produced after reflecting ABC over the line y = x. If vertex B has coordinates (s, t), what are the coordinates of B’ ? A (s, -t) B (t, s) C (-s, t) D (-s, -t)

  17. What is the rule for the transformation formed by a translation one unit to the left and two units up followed by a reflection over the y-axis? A (x – 1, y + 2) B [-(x – 1), y + 2] C [-(x – 1), -(y – 4)] D [x – 4, -(y – 1)]

  18. Point R(a, b) is a vertex of quadrilateral QRST. What are the coordinates of R after QRST is reflected over the x-axis? A (b, a) B (-a, b) C (-a, -b) D (a, -b)

  19. The point A(-1, 3) is transformed according to the rule (x’y’) = (x – 2, y + 1). The image of A’ is then reflected over the origin, resulting in point A’’. What are the coordinates of A’’? A (-3, 4) B (3, -4) C (4, -3) D (-3, -4)

  20. Homework Reflections Worksheet

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