Mathematics
Grade9
Easy

Question

Which of the following expression represents a dilation?

  1. (x, y) rightwards arrow(x + 3, y + 2)
  2. (x, y) rightwards arrow(x, 2y)
  3. (x, y) rightwards arrow(3x, 3y)
  4. (x, y) rightwards arrow(2x, y)

hintHint:

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.

The correct answer is: (x, y) rightwards arrow(3x, 3y)


    Algebraic representation of dilation (x,y)rightwards arrow(kx, ky), where k is the scale factor.
    Here, 3 is the scale factor.
    Hence, (x,y)rightwards arrow(3x, 3y) shows dilation

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