Area and Perimeter Scales of Similar Figures

What does it mean when two polygons are described as similar?

• They are the same shape but not necessarily the same size.

• They are completely different in properties.

• They are identical in size and shape.

• They have the same color and texture.

How is the scale factor between two similar rectangles determined?

• By subtracting the smaller side from the larger side.

• By adding the lengths of all sides.

• By dividing the length of corresponding sides.

• By multiplying their areas.

What is the correct way to find the scale factor from the dimensions of two similar rectangles?

• Subtract the dimensions of the smaller rectangle from the larger one.

• Multiply the dimensions of the smaller rectangle.

• Add the dimensions of both rectangles.

• Divide the larger dimension by the smaller dimension.

What is the perimeter ratio of two similar rectangles if their scale factor is 3 over 2?

• 6 over 4

• 3 over 2

• 12 over 8

• 9 over 6

How do you calculate the perimeter of a rectangle?

• Subtract the height from the base.

• Divide the area by the base.

• Add up all four sides.

• Multiply the base by the height.

If the perimeter of a smaller rectangle is 12 units, what would be the perimeter of a larger rectangle with a scale factor of 3 over 2?

• 36 units

• 30 units

• 24 units

• 18 units

If the area of a smaller rectangle is 8 units squared, what is the area of a larger rectangle with a scale factor squared of 9 over 4?

• 22 units squared

• 18 units squared

• 16 units squared

• 20 units squared

Which statement is true for any two similar shapes?

• The perimeter ratio equals the square of the scale factor.

• The area ratio equals the scale factor.

• The perimeter ratio always equals the scale factor.

• The area ratio is unrelated to the scale factor.

What is the relationship between the area ratios of similar shapes?

• It is equal to the scale factor.

• It is the square root of the scale factor.

• It is the scale factor squared.

• It is twice the scale factor.

What general property holds true for the area ratios of any similar shapes?

• It is the scale factor squared.

• It is double the scale factor.

• It is the cube of the scale factor.

• It is half the scale factor.