Dilations

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 is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

What is the scale factor if a point (4, 6) is dilated to (8, 12)?

Back

The scale factor is 2.

Front

How do you calculate the scale factor from two points?

Back

Divide the coordinates of the image point by the corresponding coordinates of the original point.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size; it is unchanged.

Front

If a point (3, 4) is dilated by a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are (1.5, 2).

Front

True or False: A dilation can change the shape of a figure.

Back

False. A dilation changes the size but not the shape.