Mathematics
Grade9
Easy

Question

Find the coordinates of image of line AB with vertices A(2, 1), B(4, 1). Use a scale factor of 2 in dilation.

  1. A’(4, -2) and B’(8, 2)
  2. A’(4, 2) and B’(8, 2)
  3. A’(-4, 2) and B’(8, 2)
  4. A’(4, 2) and B’(8, -2)

hintHint:

Multiply the scale factor with the coordinates of the line to find the coordinates of its image.

The correct answer is: A’(4, 2) and B’(8, 2)


    Given,
    Coordinates of line AB are A(2, 1), B(4, 1).
    Scale factor k = 2
    To find,
    Coordinates of image of line AB i.e. line A'B'
    Here,
    (x, y) → (2x, 2y)
    A(2, 1) → A’(4, 2)
    B(4, 1) → B’(8, 2)
    Therefore, the coordinates of image of line AB are A’(4, 2) and B’(8, 2)

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