Dilations and Perimeter

A figure is dilated by a scale factor of 8. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 8.

• The perimeter is multiplied by 8 and the area is multiplied by 64.

• The perimeter and area are both divided by 8.

• Add 8 to the perimeter, but multiply the area by 8

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 2.

Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

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8.10.D

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 1/2.

Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

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8.10.D

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

• 72 square feet

• 18 square feet

• 36 square feet

• 54 square feet

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8.10.D

A triangle has an area of P square units. The triangle is dilated by a scale factor of 2.

Which expression could represent the area of the new shape?

• 2P units

• 4P units

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8.10.D

A triangle has a perimeter of 10 centimeters. If each dimension of the triangle is dilated by a scale factor of 2 to create a new triangle, what is the perimeter of the new triangle?

• 40 centimeters

• 80 centimeters

• 20 centimeters

• 30 centimeters

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8.10.D

A dilation is which of the following: 

• An enlargement

• A reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

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A rectangle is dilated by a scale factor of 3. What will be the resulting effect on the area?

• It will be dilated by scale factor of 3

• It will be dilated by a scale factor of 9

• There will be no effect on the area

• It will be dilated by 1/3

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8.10.D

What is one way to determine how much the area would increase using a scale factor of 3?

• take the scale factor and square it to get 3x3=9

• add all of the sides together then multiply by 3

• multiply the area of the smaller rectangle by 3

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8.10.D

A triangle has an area of P square units. The triangle is dilated by a scale factor of 3. Which expression could represent the area of the new shape?

• 9P units

• 3P units

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8.10.D