Quiz about Unit 4 - Similar Triangles Test Review

Question 1

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 2

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 3

What is the measure of x?

Accepted Answer

9

Answer

12

Answer

15

Answer

6

Question 4

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 5

Question 5.

Accepted Answer

5

Answer

1

Answer

3

Answer

7

Question 6

Question 6.

Accepted Answer

42

Answer

3

Answer

40

Answer

104

Question 7

Question 7.

Accepted Answer

DF

Answer

BD

Answer

CE

Answer

CG

Question 8

If <a = 63* and

Accepted Answer

29*

Answer

30*

Answer

90*

Answer

180*

Question 9

Find the height of the tree.

Accepted Answer

15 ft

Answer

8 ft

Answer

12 ft

Answer

13 ft

Question 10

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Question 11

Review the picture.  Find the missing side measurement in the picture using a proportion.

Accepted Answer

w = 6 m

Answer

w = 18 m

Answer

6 m

Answer

w = 0.16 m

Question 12

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 13

Question 13.

Accepted Answer

54 degrees

Answer

50 degrees

Answer

65 degrees

Answer

72 degrees

Question 14

Question 14.

Accepted Answer

22.5

Answer

24.5

Answer

14

Answer

12

Question 15

Question 15.

Accepted Answer

3

Answer

5

Answer

3.75

Answer

2

Question 16

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

not similar

Answer

AA

Answer

SAS

Answer

SSS

Question 17

Use the information in the diagram to determine the height of the tree.

Accepted Answer

80 feet

Answer

320 feet

Answer

40 feet

Answer

160 feet

Question 18

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 19

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

Accepted Answer

3:5

Answer

2:5

Answer

5:3

Answer

2:3

Question 20

Which triangles are similar to triangle A?

Accepted Answer

B

Answer

C

Answer

Both

Answer

None

Question 21

Find the length of AB.

Accepted Answer

6

Answer

36

Answer

18

Answer

12

Question 22

In right triangle ABC, altitude CD is drawn to hypotenuse AB. Find the length of BC.

Accepted Answer

8.9

Answer

80

Answer

40

Answer

0

Question 23

Find the length of the altitude (SR) of triangle PQR.

Accepted Answer

6.9

Answer

48

Answer

24

Answer

0

Question 24

Find the length HK of of right triangle GHK.

Accepted Answer

17.3

Answer

300

Answer

0

Answer

150

Question 25

Find the value of x.

Accepted Answer

4.9

Answer

0

Answer

48

Answer

24

Question 26

Find the value of x.

Accepted Answer

16

Answer

12

Answer

9

Answer

6

Question 27

Find the value of y, if you know the value of x=16

Accepted Answer

20

Answer

400

Answer

200

Answer

40

Question 28

Find the value of z, if you know the value of x=16.

Accepted Answer

15

Answer

30

Answer

112.5

Answer

225

Question 29

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Accepted Answer

proportional, congruent

Answer

congruent, proportional

Answer

congruent, congruent

Answer

proportional, proportional

Question 30

This means the image and preimage are congruent.

Accepted Answer

isometry

Answer

reflection

Answer

transformation

Answer

rotation

Question 31

The figures are similar. Find the length of the bottom of the top quadrilateral.

Accepted Answer

18

Answer

50

Answer

12

Answer

11.1

Question 32

Can dilation ever produce an isometry?

Accepted Answer

Yes, when the scale factor is 1.

Answer

Yes, when the scale factor is 4.

Answer

Yes, when the dilation is negative.

Answer

No, it cannot.

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