Exploring Dilations on the Coordinate Plane

What does a dilation in geometry do to a figure?

• Changes the shape of the figure

• Enlarges or reduces the figure's size

• Only shifts the figure's position

• Alters the angle measures of the figure

What remains the same after a figure undergoes dilation?

• Area

• Angle measures

• Perimeter

• Side lengths

How is a scale factor less than one interpreted in dilations?

• It reduces the figure

• It rotates the figure

• It does not change the figure

• It enlarges the figure

What is the result of dilating a triangle with a scale factor of 2.5?

• The triangle's size is reduced

• The triangle's size remains unchanged

• The triangle's size is enlarged

• The triangle's shape changes

What does a scale factor greater than one indicate?

• The figure is rotated

• The figure is translated

• The figure is enlarged

• The figure is reduced

What does a scale factor of 1 indicate about the dilation?

• The figure's shape changes

• The figure remains the same size

• The figure is reduced

• The figure is enlarged

How do you find the scale factor in a dilation?

• By dividing the new figure's size by the original figure's size

• By adding the sizes of the original and new figures

• By multiplying the original figure's size with the new figure's size

• By dividing the original figure's size by the new figure's size

What is the algebraic representation of a dilation by a scale factor of 1/3?

• 3/x, 3/y

• 1/3 x, 1/3 y

• 3x, 3y

• x/3, y/3

If a triangle's side length in the pre-image is 8 units and in the image is 12 units after dilation, what is the scale factor?

• 1.25

• 2

• 0.75

• 1.5

How is the new location of a point found after dilation?

• By adding the scale factor to the original coordinates

• By dividing the original coordinates by the scale factor

• By multiplying the original coordinates by the scale factor

• By subtracting the scale factor from the original coordinates