Understanding Scale Factors and Similar Figures

What defines similar figures in geometry?

• They have different shapes and sizes.

• They have the same shape but different sizes.

• They have the same size and shape.

• They have different shapes but the same size.

Which of the following best describes corresponding sides?

• Sides that are perpendicular in the same shape.

• Sides that are in the same position in different shapes.

• Sides that are equal in length in different shapes.

• Sides that are parallel in the same shape.

How is the scale factor between two similar figures determined?

• By multiplying the lengths of corresponding sides.

• By dividing the lengths of corresponding sides.

• By subtracting the lengths of corresponding sides.

• By adding the lengths of corresponding sides.

What is the scale factor if a shape is enlarged from a smaller shape?

• Zero

• Greater than one

• Equal to one

• Less than one

If a shape is reduced in size, what will the scale factor be?

• Less than one

• Equal to one

• Greater than one

• Zero

In the example, what is the scale factor from rectangle A to rectangle B if the corresponding sides are 9 and 3?

• 1

• 2

• 3

• 4

What is the scale factor from rectangle B to rectangle A if the corresponding sides are 3 and 15?

• 1/4

• 1/2

• 1/3

• 1/5

What is the scale factor from rectangle A to rectangle B if the bottom sides are 12 and 4?

• 2

• 3

• 5

• 4

In the practice problems, what is the scale factor from A to B?

• 3

• 2

• 2.5

• 1.5

In the practice problems, what is the scale factor from B to A?

• 1/5

• 1/4

• 1/3

• 1/2