Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a center of dilation and a scale factor.

Front

True or False: Dilations can only enlarge figures.

Back

False

Front

What happens to a figure when a scale factor of less than 1 is applied?

Back

The figure is reduced in size.

Front

If the scale factor is 2, what type of transformation occurs?

Back

Enlargement.

Front

What is the term for a dilation that produces a smaller figure?

Back

Reduction.

Front

How do you calculate the scale factor of a dilation?

Back

Divide the length of the dilated image by the length of the pre-image.

Front

If a point (x, y) is dilated by a scale factor of k, what are the new coordinates?

Back

(kx, ky).

Front

What is the center of dilation?

Back

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

Front

True or False: A scale factor of 1/2 reduces a figure.

Back

True.

Front

If the original coordinates of a point are (2, 8) and the scale factor is 2, what are the new coordinates?

Back

(4, 16).