Dilations Effects on Area and Perimeter

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

• 5

• 20

• 25

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

The area of the larger square is __________ times larger than the area of the smaller square.

• 1/2

• 1

• 2

• 4

Figure ABCD has an area of 4 units². It is then dilated using a scale factor of 4. What is the perimeter of the new figure?

• 32

• 64

• 8

Both the side lengths and perimeter are 3 times larger in the bigger rectangle.

• True

• False

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

Tags

8.10.D

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 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

Tags

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

Tags

8.10.D