Quiz on Area and Perimeter of Similar Figures

What is the relationship between the perimeters of similar figures?

• They are related by the square of the scale factor.

• They are unrelated.

• They are related by the scale factor.

• They are equal.

In the four-square court example, how is the perimeter of a smaller square related to the larger square?

• It is unrelated to the larger square.

• It is the same as the larger square.

• It is double the perimeter of the larger square.

• It is half the perimeter of the larger square.

What is the key concept for calculating the area of similar figures?

• Area is equal to the original area divided by the scale factor.

• Area is equal to the original area times the square of the scale factor.

• Area is equal to the original area times the scale factor.

• Area is unrelated to scale factor.

If two rectangles are similar and one has a length of 6 inches, what is the scale factor if the other has a length of 7 inches?

• 2/1

• 6/7

• 7/6

• 1/2

How do you calculate the perimeter of a similar triangle if the scale factor is 3/4?

• Multiply the original perimeter by 3/4.

• Multiply the original perimeter by 4/3.

• Divide the original perimeter by 3/4.

• Add 3/4 to the original perimeter.

In the porch example, what is the area of the back porch if the scale factor is 2?

• 40

• 20

• 160

• 80

Why do we square the scale factor when calculating the area of similar figures?

• To make the calculation easier.

• To increase the area.

• Because area is a two-dimensional measure.

• To match the perimeter calculation.

If a mural is 10 times the dimensions of the original image, what is the scale factor for the area?

• 1

• 0.1

• 100

• 10

What is the area of a mural if the original area is 34.56 square inches and the scale factor is 10?

• 345.6

• 3456

• 34.56

• 3.456

What might be the relationship between volume and scale factor?

• Volume is unrelated to scale factor.

• Volume is related by the square of the scale factor.

• Volume is related by the cube of the scale factor.

• Volume is equal to the scale factor.