Quiz about Similar Shapes Dilations

Question 1

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 2

Find the height of the tree.

Accepted Answer

15 ft

Answer

8 ft

Answer

12 ft

Answer

13 ft

Question 3

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 4

Find side length X.

Accepted Answer

15

Answer

16

Answer

18

Answer

2.4

Question 5

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 6

All corresponding sides are proportional (same ratio) in similar figures.

Accepted Answer

True

Answer

False

Question 7

All corresponding angles are congruent in similar figures.

Accepted Answer

True

Answer

False

Question 8

All corresponding sides are congruent in any similar figure.

Accepted Answer

False

Answer

True

Question 9

Two shapes that are congruent are also similar

Accepted Answer

True

Answer

False

Question 10

Two shapes that are similar are also congruent

Accepted Answer

False

Answer

True

Question 11

Are the triangles similar?

Accepted Answer

No

Answer

Yes

Question 12

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 13

Find the value of x.

Accepted Answer

x = 4.5

Answer

x = 9

Answer

x = 30

Answer

x = 3

Question 14

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 15

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 16

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 17

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 18

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

Accepted Answer

True

Answer

False

Question 19

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

Accepted Answer

True

Answer

False

Question 20

How do you write the algebraic notation when the scale factor is 3?

Accepted Answer

(x, y) goes to (3x, 3y)

Answer

(x, y) goes to (1/3x, 1/3y)

Answer

(x, y) goes to (-3x, -3y)

Answer

(x, y) goes to (x + 3, y + 3)

Question 21

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 22

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No

Question 23

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 24

In a dilation what mathematical operation is used with the scale factor?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 25

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 26

One of the trapezoids is the image of the other after a dilation of some scale factor, k. Which of the following points is closest to representing the center of this dilation?

Accepted Answer

A

Answer

D

Answer

B

Answer

C

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