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 the same, using a scale factor and a center of dilation.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates that the image will be larger than the pre-image.

Front

What does a scale factor of 1 indicate?

Back

A scale factor of 1 indicates that the image will be the same size as the pre-image.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates that the image will be a reduction of the pre-image.

Front

How do you find the image of a point after dilation?

Back

To find the image of a point after dilation, multiply the coordinates of the point by the scale factor and then add the coordinates of the center of 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 during a dilation.

Front

If point A(2, 3) is dilated by a scale factor of 2 over the origin, what are the coordinates of A'?

Back

A' will be (4, 6).

Front

If point B(4, 8) is dilated by a scale factor of 1/2 over the origin, what are the coordinates of B'?

Back

B' will be (2, 4).

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

If the point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

The scale factor is 1/4.