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.

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