Dilations and other transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does the scale factor (SF) indicate in a dilation?

Back

The scale factor indicates how much a figure is enlarged or reduced during a dilation.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

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

Back

The scale factor is 4.

Front

How do you calculate the scale factor between two similar figures?

Back

The scale factor is calculated by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What is the scale factor from ABCD to MNOP if the lengths of corresponding sides are in the ratio 2:3?

Back

The scale factor is 2/3.

Front

What is the result of dilating a point (x, y) by a scale factor of k?

Back

The result is the point (kx, ky).

Front

What is the scale factor if a point (5, 10) is dilated to (10, 20)?

Back

The scale factor is 2.

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1?

Back

The coordinates remain unchanged.