Mathematics
Grade9
Easy

Question

G’T’B’ is the image of GTB after a translation. Write a rule for the translation.

  1. (x, y) à (x - 5, y +1)    
  2. (x, y) à (x + 5, y +1)    
  3. (x, y) à (x - 5, y - 1)    
  4. (x, y) à (x + 5, y -1)    

The correct answer is: (x, y) à (x + 5, y +1)


    To find the rule for the translation.
    On X-axis,
    Positive translation means shifting to the right (x + h)
    Negative translation means shifting to the left (x - h)
    On Y-axis,
    Positive translation means shifting vertically upward (y + k)
    Negative translation means shifting vertically downward (y - k)
    Here, by the given figure we can find that
    The figure is moved to the right by 5 units on the x-axis, and the figure is moved upward on the y-axis.
    Translation is 5 units to the right and 1 unit up.
    Rule: (x, y) à (x + 5, y + 1)

    So, the rule for the translation is  (x, y) à (x + 5, y + 1).

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