Dilations and Similar Figures

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 a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction in size.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement in size.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 3/4, what type of transformation has occurred?

Back

Triangle A'B'C' is a reduction of triangle ABC.

Front

How do you calculate the area of a figure after dilation?

Back

To find the new area after dilation, multiply the original area by the square of the scale factor.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the scale factor if a rectangle's dimensions are increased from 2 ft x 3 ft to 6 ft x 9 ft?

Back

The scale factor is 3.

Front

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

Back

The angles remain the same during a dilation.

Front

If triangle PQR is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle PQR and triangle DEF are equal.

Front

What is the formula for the area of a rectangle?

Back

Area = length x width.