Dilations and Scale Factor

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 scale factor.

Front

What is a scale factor?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

The figure is enlarged.

Front

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

Back

The figure is reduced.

Front

What does it mean if a dilation produces a congruent figure?

Back

It means the figure has the same shape and size, which is not true for dilations.

Front

How do you find the scale factor when dilating a point?

Back

Divide the coordinates of the dilated point by the coordinates of the original point.

Front

What is the scale factor if point (8, 12) is dilated to (2, 3)?

Back

Front

What is the scale factor if quadrilateral NDPM is dilated to quadrilateral N'D'P'M' and the scale factor is 2?

Back

The new figure is twice the size of the original figure.

Front

True or False: A dilation always produces a figure that is congruent to the original figure.

Back

False.

Front

What happens to the dimensions of a figure if the scale factor is 3?

Back

Each dimension of the figure is multiplied by 3, making it three times larger.