Dilations Flashcard

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a shape but keeps its proportions the same.

Front

What is the scale factor in a dilation?

Back

The ratio that describes how much a shape is enlarged or reduced.

Front

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

Back

An enlargement.

Front

If the scale factor is between 0 and 1, what type of transformation occurs?

Back

A reduction.

Front

What happens to the angles of a shape after dilation?

Back

The angles remain congruent.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the center of dilation?

Back

The fixed point in the plane about which all points are expanded or contracted.

Front

What is the effect of a negative scale factor on a dilation?

Back

It reflects the shape across the center of dilation.

Front

What is the image of point (3, 5) when dilated by a scale factor of 2?

Back

(6, 10).

Front

What is the image of point (2, -4) when dilated by a scale factor of ½?

Back

(1, -2).