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 maintains 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 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

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 scale factor if a figure is enlarged from a size of 3 to a size of 6?

Back

The scale factor is 2.

Front

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

Back

The scale factor is 1/2.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

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

Back

Each side of triangle A'B'C' is twice the length of the corresponding side of triangle ABC.

Front

How do you find a missing side in similar figures?

Back

Set up a proportion using the ratios of the corresponding sides and solve for the missing side.