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 not its shape, using a scale factor.

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 the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What are the coordinates of point C after a dilation of k=3/2 from the origin if C is at (6,4)?

Back

(9,6)

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply each coordinate of the original point by the scale factor.

Front

What is the center of dilation?

Back

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

Front

What happens to the distances between points during a dilation?

Back

The distances between points are multiplied by the scale factor.

Front

If a triangle has vertices at (1,2), (3,4), and (5,6), what are the new coordinates after a dilation by a scale factor of 2?

Back

(2,4), (6,8), (10,12)