Dilations and Scale Factor Practice

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, a quantity. In dilations, it determines 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

Enlargement.

Front

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

Back

Reduction.

Front

What is the scale factor if a triangle is enlarged from a size of 3 to a size of 6?

Back

2.

Front

What is the scale factor if a rectangle is reduced from a size of 8 to a size of 4?

Back

0.5.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the image of a figure under a dilation called?

Back

The image is called the dilated figure.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 2, what is the relationship between the sides of the triangles?

Back

The sides of triangle A'B'C' are twice the length of the corresponding sides of triangle ABC.

Front

What happens to the angles of a figure during a dilation?

Back

The angles remain the same; only the size of the figure changes.