Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

The figure is reduced.

Front

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

Back

The figure is enlarged.

Front

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

Back

Multiplication.

Front

What does a scale factor of 1 indicate?

Back

A scale factor of 1 indicates that the figure remains the same size.

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can be either an enlargement or a reduction depending on the scale factor.

Front

What is the effect of a scale factor of 3 on a figure?

Back

The figure will be enlarged to three times its original size.

Front

What is the effect of a scale factor of 1/3 on a figure?

Back

The figure will be reduced to one-third of its original size.

Front

How do you calculate the new dimensions of a figure after dilation?

Back

Multiply each dimension of the original figure by the scale factor.