Dilations on a Grid

Dilate the point (4, 5) by a scale factor of 2.

• (8, 10)

• (3, 4)

• (6, 7)

• (5, 6)

Determine the coordinates of the image of the point (3, 4) after a dilation with a scale factor of 0.25.

• (2, 3)

• (1.5, 2)

• (0.75, 1)

• (0.25, 0.5)

If a point is dilated by a scale factor of 3, in which direction does it move on the grid?

• Away from the center of dilation

• Vertically

• Towards the center of dilation

• Horizontally

What is the center of dilation if the point (6, 8) is dilated by a scale factor of 3?

• (3, 4)

• (5, 7)

• (2, 2.67)

• (8, 6)

Graph the point (1, 1) and its image after a dilation with a scale factor of 0.5.

• (2, 2)

• (0, 0)

• (0.25, 0.25)

• (0.5, 0.5)

If a point is dilated by a scale factor of 4, what happens to its distance from the center of dilation?

• The distance from the center of dilation remains the same.

• The distance from the center of dilation is divided by 4.

• The distance from the center of dilation is multiplied by 4.

• The distance from the center of dilation is subtracted by 4.

Explain how to graph a dilation with a scale factor of 1.

• Rotate the figure instead of dilating

• Draw the figure with a scale factor of 0

• Draw the figure without any changes.

• Change the color of the figure

Compare and contrast the graph of a dilation with a scale factor greater than 1 and a scale factor between 0 and 1.

• The graph of a dilation with a scale factor between 0 and 1 expands

• The graph of a dilation with a scale factor greater than 1 remains the same size

• The graph of a dilation with a scale factor greater than 1 expands, while the graph of a dilation with a scale factor between 0 and 1 shrinks.

• The graph of a dilation with a scale factor greater than 1 shrinks

On graph paper, sketch the image of quadrilateral PQRS under the dilation centered at (R) with scale factor 2.

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On graph paper, sketch the image of quadrilateral PQRS under the dilation centered at \(O\) with scale factor \(\frac{1}{2}\).

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