Math Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original figure, but with a different size, using a scale factor.

Front

True or False: A dilation always produces a congruent figure.

Back

False

Front

True or False: A dilation produces a similar figure.

Back

True

Front

What does the scale factor in a dilation represent?

Back

The scale factor represents how much larger or smaller the dilated figure is compared to the original figure.

Front

If a triangle is dilated by a scale factor of 2, what happens to its size?

Back

The triangle becomes twice as large.

Front

What is the image of the point (4, 6) under a dilation with a scale factor of 1/2?

Back

(2, 3)

Front

What is the image of the point (-10, -6) under a dilation with center at the origin and scale factor k = 1/2?

Back

(-5, -3)

Front

If a figure is dilated with a scale factor of 1, what is the result?

Back

The figure remains unchanged.

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

The figure is reduced in size.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

The figure is enlarged.