Quiz about Dilation Effects

Question 1

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

<html><head></head><body>9P units</body></html>

Answer

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

Answer

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

Answer

<html><head></head><body>3P units</body></html>

Question 2

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

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

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 5

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 6

A rectangle is dilated by a scale factor of 2.

What happens to the area?

Accepted Answer

quadruples

Answer

doubles

Answer

triples

Answer

not enough information

Question 7

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 8

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 9

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 10

A triangle ABC with sides AB = 8, BC = 16, and AC = 17 is dilated to form a triangle with side B'C' = 8. Which of the following statements about the sides of the image of triangle ABC?

Accepted Answer

A'B' = 4

and A'C' = 8.5

Answer

A'B' = 8

and A'C' = 17

Answer

A'B' = 0

and A'C' = 9

Answer

Impossible to determine

Question 11

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

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 12

How much did the angles increase in the scale copy?

Accepted Answer

Angles do not change in scale copies

Answer

They are twice as large

Answer

They are 4 times as large

Question 13

Find the ratio (blue to red) of the perimeter.

Accepted Answer

7/4

Answer

4/7

Answer

49/16

Answer

16/49

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