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Worksheets

Unit 5 Test Review

Total questions: 36

Worksheet time: 2hrs 8mins

Name
Class
Date
1.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
2.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
3.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

4.

what is the length of x?

a)

41

b)

60

c)

1

d)

20

5.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

6.

Find the value of x.

a)

0

b)

48

c)

4.9

d)

24

7.

In the right triangle ABC below, CD is the altitude to the hypotenuse AB. If AD=3, DB=12, what is the value of CD?

a)

656\sqrt{5}

b)

14\frac{1}{4}

c)

66

d)

353\sqrt{5}

8.

What is the geometric mean between 64 and 25?

a)

13

b)

3

c)

40

d)

89

9.

The geometric mean of 4 and __________ is 6. What is the missing number?

a)

6

b)

2√3

c)

3√2

d)

9

10.
Simplify:
√200
a)
10√2
b)
2√10
c)
50√2
d)
2√50
11.
Simplify:
√96
a)
16√6
b)
6√16
c)
9√6
d)
4√6
12.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
13.
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)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
14.

Triangle CAT has coordinates C (4,8) A (6,10) and T ( 6,4) where is A' after a dilation of scale factor of 1/2 

a)

(6,10)

b)

(3,2)

c)

(3,5)

d)

(0,0)

15.

Which of the following algebraic rules represents an enlargement (dilation that gets bigger)?

a)

(x, y) --> (1.25x, 1.25y)

b)

(x, y) --> (x+3, y+3)

c)

(x, y) --> (x - 3, y - 3)

d)

(x, y) --> (0.5x, 0.5y)

16.

ΔJKL \Delta JKL\  has the following coordinates J(-8,2), K(7,9), L(9,-12). When dilated the new coordinates are J'(-4,1), K'(3.5,4.5), L'(4.5,6). What is the scale factor?

a)

2

b)

1/2

c)

-4

d)

-1/2

17.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

18.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
19.
Find missing side.
a)
1/5
b)
5
c)
7
d)
1/7
20.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

21.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

22.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

23.

If the triangles are similar, state how.

a)

SAS

b)

AA

c)

SSS

d)

Not similar

24.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
25.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
26.
The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?
a)
53⁰,78⁰, and 49⁰
b)
There is not enough information to answer this question.
c)
106⁰,156⁰, and 98⁰
d)
26.5⁰,39⁰, and 24.5⁰
27.
Find x
a)
10.5
b)
5
c)
8.5
d)
6
28.
Solve for x. 
a)
8
b)
6
c)
10
d)
12
29.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
30.

The triangles are similar, if m<B = 30, then what is m<D?

a)

30

b)

60

c)

150

d)

20

31.

What is the value of x?

a)

17

b)

34

c)

68

d)

Impossible to determine from the information given.

32.

What is the value of x?

a)

1

b)

2

c)

4

d)

Impossible to determine from the information given.

33.
Find the missing length.
a)
12
b)
3
c)
24
d)
6
34.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
35.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
36.

Find the measure of DG. (It's the average of the two sides)

a)
14
b)
28
c)
12
d)
16