Rotationcounterclockwise90(3/4x,3/4y)Rotationcounterclockwise180Reflectionacross thex- axis(x-2,y-1)(-x, -y)(x, y)EnlargementRotationcounterclockwise360(-y,x)(5/4x,5/4y)(x+2,y+1)(x, -y)Reflectionacross they-axisRotationcounterclockwise270(-x,y)(x+2,y-1)(x+1,y+2)(x+1,y-2)(y, -x)(x -1,y)(x, y-1)(x-1,y+2)ReductionRotationcounterclockwise90(3/4x,3/4y)Rotationcounterclockwise180Reflectionacross thex- axis(x-2,y-1)(-x, -y)(x, y)EnlargementRotationcounterclockwise360(-y,x)(5/4x,5/4y)(x+2,y+1)(x, -y)Reflectionacross they-axisRotationcounterclockwise270(-x,y)(x+2,y-1)(x+1,y+2)(x+1,y-2)(y, -x)(x -1,y)(x, y-1)(x-1,y+2)Reduction

Transformations - Call List

(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


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  1. Rotation counterclockwise 90
  2. (3/4x, 3/4y)
  3. Rotation counterclockwise 180
  4. Reflection across the x- axis
  5. (x-2,y-1)
  6. (-x, -y)
  7. (x, y)
  8. Enlargement
  9. Rotation counterclockwise 360
  10. (-y, x)
  11. (5/4x, 5/4y)
  12. (x+2,y+1)
  13. (x, -y)
  14. Reflection across the y-axis
  15. Rotation counterclockwise 270
  16. (-x, y)
  17. (x+2,y-1)
  18. (x+1,y+2)
  19. (x+1,y-2)
  20. (y, -x)
  21. (x -1, y)
  22. (x, y -1)
  23. (x-1,y+ 2)
  24. Reduction