Quiz about Dilations and Perimeter

Question 1

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

Accepted Answer

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

Answer

The perimeter and area are both multiplied by 8.

Answer

The perimeter and area are both divided by 8.

Answer

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

Question 2

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?

Accepted Answer

<html><head></head><body>2P units</body></html>

Answer

$$\frac{1}{4}P$$ units

Answer

$$\frac{1}{2}P$$ units

Answer

<html><head></head><body>4P units</body></html>

Question 3

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?

Accepted Answer

$$\frac{1}{2}P$$ units

Answer

$$\frac{1}{4}P$$ units

Answer

<html><head></head><body>2P units</body></html>

Answer

<html><head></head><body>4P units</body></html>

Question 4

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?

Accepted Answer

54 square feet

Answer

72 square feet

Answer

18 square feet

Answer

36 square feet

Question 5

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?

Accepted Answer

<html><head></head><body>4P units</body></html>

Answer

$$\frac{1}{4}P$$ units

Answer

$$\frac{1}{2}P$$ units

Answer

<html><head></head><body>2P units</body></html>

Question 6

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?

Accepted Answer

20 centimeters

Answer

40 centimeters

Answer

80 centimeters

Answer

30 centimeters

Question 7

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

An enlargement

Answer

A reduction

Answer

Neither an enlargement or a reduction

Question 8

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

Accepted Answer

It will be dilated by a scale factor of 9

Answer

It will be dilated by scale factor of 3

Answer

There will be no effect on the area

Answer

It will be dilated by 1/3

Question 9

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

Accepted Answer

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

Answer

add all of the sides together then multiply by 3

Answer

multiply the area of the smaller rectangle by 3

Question 10

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?

Accepted Answer

9P units

Answer

$$\frac{1}{9}P$$ units

Answer

$$\frac{1}{3}P$$ units

Answer

3P units

Question 11

What is the scale factor if the triangle on the left is the original?

Accepted Answer

1/2

Answer

2

Answer

3/2

Answer

2/3

Question 12

Does the image show a dilation?

Accepted Answer

No

Answer

Yes

Question 13

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 14

What is the scale factor if the smaller rectangle is the original rectangle?

Accepted Answer

4

Answer

25

Answer

5

Answer

6

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