Dilations

Front

What is a dilation?

Back

A transformation that alters the size of a figure, either enlarging or reducing it.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the image.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the image.

Front

If a shape is dilated by a scale factor of 2, what happens to its dimensions?

Back

The dimensions of the shape are doubled.

Front

What is the scale factor in a dilation?

Back

The ratio of the size of the image to the size of the original figure.

Front

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

Back

(0.5, 1), (1.5, 2), (2.5, 3) are the new coordinates.

Front

True or False: A dilation can only be an enlargement.

Back

False. A dilation can be either an enlargement or a reduction.

Front

What is the effect of a scale factor of 1 on a figure during dilation?

Back

The figure remains unchanged.

Front

How do you determine if a transformation is a dilation?

Back

Check if the distances from the center of dilation to points on the figure are multiplied by the same scale factor.

Front

What is the center of dilation?

Back

A fixed point in the plane about which all points are expanded or contracted.