Question 1

A triangle has side lengths of 5in, 8in, and 12in. If a factor of 4 is applied, what are the side lengths of the image?

Accepted Answer

20in, 32in, 48in

Answer

1in, 4in, 8in

Answer

9in, 12in, 16in

Answer

1.2in, 2in, 3in

Question 2

What scale factor was applied to dilate triangle ABC about the origin to create triangle A'B'C'?

Accepted Answer

2

Answer

1/2

Answer

4

Answer

3

Question 3

Which of the following is not true about the dilation pictured?

Accepted Answer

A factor of 2 was applied and the figure was dilated about (0,0)

Answer

A'D' = .5(AD)

Answer

A factor of .5 was applied and the figure was dilated about (0,0)

Answer

BC // B'C'

Question 4

What is the center point of this dilation? How can you tell?

Accepted Answer

Point D, because D and D' are in the same spot. They're both at (0,0).

Answer

Point D, because it is at the origin of the graph.

Answer

Point C, because it is on the x-axis.

Answer

Point B', because it is in line with the origin of the graph.

Question 5

Triangle PRQ was dilated about (0,0) by a factor of 3. Which of the following is not a true statement.

Accepted Answer

You can tell (0,0) is the center, because (0,0) to R is the same distance as (0,0) to R'.

Answer

You can tell the scale factor is 3, because RQ*3 = R'Q'.

Answer

You can tell the center is (0,0), because the slope from (0,0) to P is 3 and the slope from (0,0) to P' is 9/3 = 3. AKA P and P' are on the same line!

Answer

You can tell the scale factor is 3, because from (0,0) to Q' is triple the distance from (0,0) to Q.

Question 6

Which lengths below would not be a dilation of a triangle with lengths 6, 10, 12?

Accepted Answer

10, 14, 16

Answer

3, 5, 6

Answer

9, 15, 18

Answer

60, 100, 120

Question 7

(9 , -2) was dilated by a factor of 1/3 about the origin. Which of the following is the coordinates of its image?

Accepted Answer

(3 , -2/3)

Answer

(27 , -6)

Answer

(-3 , 2/3)

Answer

(6 , -2)

Question 8

AB = 72 and A'B' = 24. Which of the following is a ratio of A'B':AB?

Accepted Answer

1:3

Answer

2:3

Answer

1:4

Answer

1:6

Question 9

Which of the following is NOT true?

Accepted Answer

AC:CB is 3:4

Answer

CB:AB is 3:4

Answer

AC = 1/4(AB)

Answer

4(AC) = AB

Question 10

(-3 , 7) was dilated about the origin to create (-18 , 42). What scale factor was used?

Accepted Answer

6

Answer

-6

Answer

3

Answer

1/6

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