Quiz about 8.G.A.3 (Dilations) Review

Question 1

A dilation is which of the following:

Accepted Answer

either an enlargement or reduction

Answer

an enlargement only

Answer

a reduction only

Answer

neither an enlargement or reduction

Question 2

A dilation always produces a congruent figure.

Accepted Answer

False

Answer

True

Question 3

A dilation always produces a similar figure.

Accepted Answer

True

Answer

False

Question 4

Dilations produce similar figures. Similar figures have the same _____ and proportional _____.

Accepted Answer

angles; side lengths

Answer

measures; shapes

Answer

sizes; shapes

Answer

side lengths; angles

Question 5

What is the scale factor of the dilation shown?

Accepted Answer

1/2

Answer

1

Answer

2

Answer

3/2

Question 6

What is the scale factor of the dilation shown?

Accepted Answer

7

Answer

1

Answer

18

Answer

49

Question 7

What is the scale factor of the dilation shown?

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

1

Question 8

What is the scale factor of the dilation shown?

Accepted Answer

1.5

Answer

1

Answer

2

Answer

2.5

Question 9

Suppose a triangle with the vertices (-1,4) (-1, -2) and (2, -2) were dilated, with the center of dilation at the origin and with a scale factor of 2. Which of these would be a vertex of the dilated figure?

Accepted Answer

(4, -4)

Answer

(-1, -4)

Answer

(-1, 4)

Answer

(4, -2)

Question 10

Figure Q' is the result of a dilation of figure Q, as shown. What was the scale factor of the dilation?

Accepted Answer

2/3

Answer

1/2

Answer

3/2

Answer

2

Question 11

On the coordinate plane below, square ABCD is dilated by a factor of 2, with the origin as the center of dilation, to form A'B'C'D'.

Accepted Answer

(4, -6)

Answer

(4, -5)

Answer

(-5, 4)

Answer

(-6, 4)

Question 12

The coordinate plane below shows the location of triangle TUV. Triangle TUV is to be dilated by a factor of 2, with the point (-1, 0) as the center of dilation. After the dilation, what is the location of vertex V?

Accepted Answer

(5, 0)

Answer

(0, 5)

Answer

(0, 4)

Answer

(4, 0)

Question 13

On the coordinate plane below, square ABCD is dilated by a factor of 2, with the origin as the center of dilation, to form A'B'C'D'.

After the dilation, what is the location of C'?

Accepted Answer

(4, -6)

Answer

(4, -5)

Answer

(-5, 4)

Answer

(-6, 4)

Question 14

A rectangle with coordinates A(1, 1), B(5, 1), C(5, 6), and D(1, 6) undergoes a dilation centered at the origin to create rectangle A'B'C'D'.

If the length of segment A'B' is 12 units, what is the scale factor of the dilation?

Accepted Answer

3

Answer

2

Answer

1

Answer

4

Question 15

Quadrilateral ABCD shown in the coordinate plane below is dilated with the center at the origin to form quadrilateral EFGH.

What is the scale factor of the dilation?

Accepted Answer

3

Answer

1/4

Answer

1/3

Answer

4

Question 16

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 17

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Accepted Answer

1/3

Answer

3

Answer

8

Answer

16

Question 18

The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?

Accepted Answer

Green Triangle

Answer

Red Triangle

Answer

Black Triangle

Answer

None of the above

Question 19

If triangle UVW gets dilated with a scale factor of 3 centered at point P, what will be the new coordinates of W'?

Accepted Answer

(2, -6)

Answer

(-3, 0)

Answer

(0, -3)

Answer

(-6, 2)

Question 20

If triangle ABC gets dilated with a scale factor of two and center P, what will the new coordinates of B' be?

Accepted Answer

(2, 7)

Answer

(7,2)

Answer

(1, 0)

Answer

(0, 1)

Question 21

A rectangle with coordinates A(1, 1), B(5, 1), C(5, 6), and D(1, 6) undergoes a dilation centered at the origin to create rectangle A'B'C'D'.

If the length of segment A'B' is 12 units, what is the scale factor of the dilation?

Accepted Answer

3

Answer

2

Answer

1

Answer

4

Question 22

The coordinate plane below shows the location of triangle TUV. Triangle TUV is to be dilated by a factor of 2, with the point (-1, 0) as the center of dilation. After the dilation, what is the location of vertex V?

Accepted Answer

(5, 0)

Answer

(0, 5)

Answer

(0, 4)

Answer

(4, 0)

Question 23

A scale factor of less than one means

Accepted Answer

That the image will be a reduction of the preimage.

Answer

that the image will be larger than the pre-image.

Answer

That the image will be the same as the preimage.

Answer

That you need to subtract that amount off of each side.

Question 24

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

Accepted Answer

B' (8 ,18)

Answer

B' (2 , 4.5)

Answer

B' (-8 ,-18)

Answer

B' (9 ,4)

8.G.A.3 (Dilations) Review

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