Dilations Review

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 indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

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

Back

It is an enlargement.

Front

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

Back

It is a reduction.

Front

How do you express a dilation algebraically?

Back

A dilation can be expressed as (x, y) goes to (kx, ky), where k is the scale factor.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

The representation is (x, y) goes to (2x, 2y).

Front

What happens to the coordinates of a point (3, 4) when dilated by a scale factor of 3?

Back

The new coordinates will be (9, 12).

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

How do you determine if a transformation is a dilation?

Back

Check if the distances between points are multiplied by the same scale factor.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.