Worksheet: Dilation: Negative Scale Factors

In this worksheet, we will practice dilating shapes about a center of dilation by negative scale factors, fractional numbers, and whole numbers, and we will practice describing dilations.

Q1:

If triangle 𝐴𝐵𝐶 is the image of triangle 𝐴𝐵𝐶 after a dilation from the origin, find the scale factor of this dilation.

Q2:

Which shape in the following figure is the image of shape 𝐴 after a dilation with a negative scale factor from the origin?

  • A𝐹
  • B𝐸
  • C𝐷
  • D𝐵
  • E𝐶

Q3:

Find the vertices of the image of kite 𝐴𝐵𝐶𝐷 after a dilation with scale factor 12 from the origin.

  • A𝐴(8,4), 𝐵(4,6), 𝐶(2,4), 𝐷(4,2)
  • B𝐴(4,2), 𝐵(2,3), 𝐶(1,2), 𝐷(2,1)
  • C𝐴(4,4), 𝐵(2,6), 𝐶(1,4), 𝐷(2,2)
  • D𝐴(4,2), 𝐵(2,3), 𝐶(1,2), 𝐷(2,1)
  • E𝐴(4,2), 𝐵(2,3), 𝐶(1,2), 𝐷(2,1)

Q4:

If shape 𝐵 is the image of shape 𝐴 after a dilation from the origin, find the scale factor of this dilation.

  • A2
  • B12
  • C4
  • D12
  • E2

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