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Date:___________________

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Geometry
7.6 Dilation

Dilation:
  • A dilation is a transformation that stretches or shrinks a figure to create a similar figure.
  • It is a type of similarity transformation.
  • In a dilation, a figure is enlarged or reduced with respect to a fixed point called center of dilation.
  • The scale factor of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
  • You can describe a dilation with respect to the origin with the notation (x,y) (kx,ky), where k is the scale factor.
    • If 0 < k < 1, the dilation is a reduction.
    • If k>1, the dilation is an enlargement.

Directions: Using graph paper and dilate the following figures using scale factor of 1, 2, 3, 4 and 1/2.

Answer the following questions. Also write at least 10 examples of your own.


Name: ___________________

Date:___________________

Geometry
7.6 Dilation

Q 1: What is the scale factor of the dilated figure.

Answer:

Q 2: Draw a dilation of the polygon with the given vertices: A(0,0), B(0, 3), C(2, 4), D(2, -1) using the scale factor of 13/2. The coordinates of the vertex D of the image is ______.
(-13/2, 13)
(13, -13/2)
(13, 13/2)

Q 3: Find the coordinates of the vertex B1 where the scale factor k = 2 as shown in the figure:

(4, 4)
(2, 4)
(2, 2)

Q 4: A triangle has a vertices A(4, -4), B(8, 2) and C(8, -4). Draw the image (Triangle DEF) of the original triangle ABC after a dilation with a scale factor of 1/2. The coordinates of point C of the image are ________.
(4, 1)
(1, -1)
(4, -2)

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