Dilations

Front

What is a dilation in geometry?

Back

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

Front

True or False: The 'image' is the shape after the dilation.

Back

True

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Front

True or False: Dilations can both enlarge and reduce figures.

Back

True.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

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

Back

The shape doubles in size.

Front

If a shape is dilated by a scale factor of 1/2, what happens to its size?

Back

The shape is reduced to half its original size.

Front

What is the center of dilation?

Back

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

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3.

Front

True or False: A scale factor greater than 1 results in a reduction of the figure.

Back

False.