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 maintains its shape, using a center of dilation and a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the dilated figure will be compared to 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 characteristic does a dilation preserve?

Back

A dilation preserves similarity.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

What are the coordinates of point C after a dilation with a scale factor of 1/2 if C is at (6, -3)?

Back

(3, -1.5)