Dilations

Front

What is a dilation in geometry?

Back

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

Front

What happens to a figure when a dilation has a scale factor greater than one?

Back

The figure is enlarged.

Front

What happens to a figure when a dilation has a scale factor less than one?

Back

The figure is reduced.

Front

What are similar figures?

Back

Figures that have the same shape but different sizes.

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 point B (x, y) is dilated with a scale factor k, what is the coordinate of the image?

Back

B' (kx, ky)

Front

True or False: A dilation produces a congruent figure.

Back

False, a dilation produces a similar figure, not congruent.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

If the scale factor is 1, what happens to the figure?

Back

The figure remains unchanged.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.