Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a center point and a scale factor.

Front

What does a scale factor of 1/2 indicate in a dilation?

Back

A scale factor of 1/2 means that the figure will be reduced to half its original size.

Front

What does a scale factor of 2 indicate in a dilation?

Back

A scale factor of 2 means that the figure will be enlarged to twice its original size.

Front

How do you perform a dilation about the origin?

Back

To perform a dilation about the origin, multiply the coordinates of each vertex of the figure by the scale factor.

Front

If the original coordinates of a point are (x, y), what are the new coordinates after a dilation of 1/2?

Back

The new coordinates will be (x/2, y/2).

Front

If the original coordinates of a point are (x, y), what are the new coordinates after a dilation of 2?

Back

The new coordinates will be (2x, 2y).

Front

What are the coordinates of a point (3, 4) after a dilation of 1.5 about the origin?

Back

The new coordinates will be (4.5, 6).

Front

What are the coordinates of a point (-2, 3) after a dilation of 5 about the origin?

Back

The new coordinates will be (-10, 15).

Front

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

Back

A dilation with a scale factor less than 1 reduces the size of the figure.

Front

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

Back

A dilation with a scale factor greater than 1 enlarges the size of the figure.