Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a center point and a scale factor.

Front

What is the scale factor in a dilation?

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 type of dilation is it?

Back

Enlargement.

Front

If the scale factor is less than 1 but greater than 0, what type of dilation is it?

Back

Reduction.

Front

How do you find the coordinates of a dilated point?

Back

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

Front

What is the image of point B (4,9) under a dilation with a scale factor of 2?

Back

B' (8, 18).

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Front

What is the image of point G (-10,-6) under a dilation with a scale factor of 1/2?

Back

G' (-5, -3).

Front

What happens to a figure when the scale factor is 1?

Back

The figure remains the same size; it is unchanged.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which the figure is enlarged or reduced.