Quiz about Polygons and Dilations

Question 1

Dilate a 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 2

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 3

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 4

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

only an enlargement

Answer

only a reduction

Answer

Neither an enlargement or a reduction

Question 5

A dilation produces a similar figure.

Accepted Answer

True

Answer

False

Question 6

When a dilation has a scale factor greater than one, the dilation is an enlargement.

Accepted Answer

True

Answer

False

Question 7

When the scale factor of a dilation is less than one, the dilation is a reduction.

Accepted Answer

True

Answer

False

Question 8

What is the value of x?

Accepted Answer

x = 2

Answer

x = 4

Answer

x = 6

Answer

x = 3

Question 9

Solve the proportion.

Accepted Answer

p=308

Answer

p=31.3

Answer

p=924

Answer

p=532

Question 10

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 63

Answer

x = 9

Answer

x = 28

Answer

x = 7

Question 11

Suppose AB = 4. After a dilation, A'B' = 10. What is the scale factor for the dilation?

Accepted Answer

5/2

Answer

10

Answer

4

Answer

2/5

Question 12

Calculate the coordinates of A' after applying a scale factor of 1/2 if the center of dilation is @ (1, -2).

Accepted Answer

(-4, 0)

Answer

(3, -5)

Answer

(4, 3)

Answer

(-1, -6)

Question 13

How do you write the algebraic notation when the scale factor is 1/2?

Accepted Answer

(x, y) goes to (1/2x, 1/2y)

Answer

(x, y) goes to (2x, 2y)

Answer

(x, y) goes to (-2x, -2y)

Answer

(x, y) goes to (2x, 1/2y)

Question 14

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

Accepted Answer

green triangle

Answer

red triangle

Answer

black triangle

Answer

none of these

Question 15

Question 15.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

Did the image enlarge, reduce or none of the above?

Accepted Answer

Reduce

Answer

Enlarge

Answer

None of the above

Question 17

What scale factor was used to produce the image?

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

1

Question 18

What scale factor was used to produce the image?

Accepted Answer

1.5

Answer

2.5

Answer

3.5

Answer

4

Question 19

What are the coordinates for the center of dilation?

Accepted Answer

(-3, -3)

Answer

(0, 0)

Answer

(-3, -1)

Answer

(-12, 6)

Question 20

The corresponding point for a pre- image that has one vertice at ( 2, 3) and a scale factor of 2 would be at (4, 6).

Accepted Answer

True, assuming that the center of dilation is at the origin.

Answer

True in all cases. It doesn't matter where the center of dilation is located. You simply multiply the coordinates by the scale factor.

Answer

False. You can't use the scale factor to find the coordinates of the corresponding vertice.

Answer

False, the corresponding vertice would have coordinates of (4, 5)

Question 21

The center of dilation is important because

Accepted Answer

All of the above

Answer

it's the location from which the dilation occurs.

Answer

All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

Answer

it's a fixed point on the plane about which all points are expanded or contracted.

Polygons and Dilations

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