Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What does a scale factor of 1 mean in a dilation?

Back

A scale factor of 1 means the figure remains the same size; it is neither enlarged nor reduced.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates that the figure is enlarged.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates that the figure is reduced.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted.

Front

What is a pre-image in the context of transformations?

Back

A pre-image is the original figure before any transformation, such as dilation, is applied.

Front

What is the image in a dilation?

Back

The image is the resulting figure after a dilation transformation has been applied to the pre-image.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 7), what are the coordinates after a dilation with a scale factor of 1/2?

Back

The new coordinates will be (1, 1.5), (2, 2.5), and (3, 3.5).