Dilations

Front

What is a dilation?

Back

A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does it mean when a dilation produces a similar figure?

Back

It means that the shape of the figure remains the same, but its size changes.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

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

Back

An enlargement.

Front

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

Back

A reduction.

Front

How do you write the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) goes to (2x, 2y).

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of ½?

Back

The new coordinates will be (½x, ½y).

Front

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

Back

The figure remains unchanged.

Front

How do you determine the scale factor when given two points, such as (8, 12) and (2, 3)?

Back

Divide the coordinates of the image by the corresponding coordinates of the original: (2/8) = (1/4) and (3/12) = (1/4).

Front

What is the relationship between the original figure and the dilated figure?

Back

They are similar figures, meaning they have the same shape but different sizes.