Dilation 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

The perimeter of the larger square is 2 times larger than the smaller square.

• True

• False

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

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

How much did the angles increase in the scale copy?

• They are twice as large

• They are 4 times as large

• Angles do not change in scale copies

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Two objects that are the same shape but NOT the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary