dilations

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 of dilation 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 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 mathematical operation is used in a dilation?

Back

Multiplication is used with the scale factor to find the new coordinates.

Front

What are the coordinates of point A(3, 6) after a dilation by a scale factor of 2?

Back

A'(6, 12) is the new coordinate after dilation.

Front

What are the coordinates of point A(3, 3) after a dilation by a scale factor of 3?

Back

A'(9, 9) is the new coordinate after dilation.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

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

Back

Multiply each coordinate of the point by the scale factor.

Front

What happens to the distances between points during a dilation?

Back

The distances between points are multiplied by the scale factor.