Dilations/Simliar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

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

Back

The figure enlarges.

Front

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

Back

The figure shrinks.

Front

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

Back

The figure remains the same size.

Front

How do you find the scale factor when given two distances?

Back

Divide the new distance by the original distance.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, which can be related by a scale factor.

Front

If point A is the center of dilation and point B is moved to a distance of 8 units from A, what is the scale factor if the original distance was 4 units?

Back

The scale factor is 2.

Front

What direction do you move point A to double its distance from point P?

Back

You move point A in the same direction away from point P.

Front

What happens to the coordinates of a point when it is dilated?

Back

The coordinates are multiplied by the scale factor.