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Small Review for Final Exam (S1)

Total questions: 107

Worksheet time: 27hrs 45mins

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
3.
All angles in similar figures are congruent.  
a)
True
b)
False
4.
Are the triangles similar?
a)
Yes
b)
No
5.

The 2 shapes are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

6.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
7.
Sides in similar figures must be proportional.  
a)
True
b)
False 
8.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
9.
All angles in similar figures are congruent.  
a)
True
b)
False
10.
Are the triangles similar?
a)
Yes
b)
No
11.

The 2 shapes are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

12.

The 2 shapes are similar. Find x.

a)

2

b)

7

c)

0.5

d)

12

13.
Sides in similar figures must be proportional.  
a)
True
b)
False 
14.
Are the triangles similar?
a)
Yes
b)
No
15.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
16.
Find side length X.
a)
30
b)
25
c)
15
d)
40
17.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
18.
Are the triangles similar?
a)
Yes
b)
No
19.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
20.
Find missing side
a)
5
b)
7
c)
9
d)
11
21.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
22.

Solve for g in the proportion

10h=210\frac{10}{h}=\frac{2}{10}  

a)

h=10

b)

h=2

c)

h=50

d)

h=100

23.

Solve for n

n4=87\frac{n}{4}=\frac{8}{7}  

a)

5

b)

32

c)

4

d)

32/7

24.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
25.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
26.

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

a)

AA

b)

SSS

c)

SAS

d)

Not similar

27.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
28.

Two complementary angles are in a ratio of 6:3. What is the measure of each angle?

4 lines
29.

A map of Phillipsburg uses a scale of 2 in : 19 mi. If the state is 8 inches wide on the map, how many miles wide is the actual state of New Jersey?

4 lines
30.

Write and solve a proportion to find the value of "x". ΔXYZ ~ ΔPRQ.

4 lines
31.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

32.

What is the length of EF?

a)

12

b)

18

c)

24

d)

28

33.

What is the value of x?

a)

10.5

b)

4.66

34.
Solve for the variable x.
a)
x = 8.5
b)
x = 10
c)
x = 1
d)
x = 2
35.
Solve for BE
a)
4.5
b)
18
c)
3.6
d)
4
36.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

37.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
38.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
39.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
40.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
41.
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?
a)
10
b)
12
c)
15
d)
18
42.
A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?  
a)
4.3
b)
8.6
c)
6.4
43.
a)
5
b)
10
c)
12
d)
15
44.
a)
20
b)
30
c)
25
d)
23
45.
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?
a)
144 feet
b)
72 feet
c)
36 feet
46.
a)
15
b)
13
c)
11
d)
17
47.
a)
8
b)
9.5
c)
10
d)
10.5
48.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
49.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
50.
Are the triangles similar?
a)
Yes
b)
No
51.
Are the triangles similar?
a)
Yes
b)
No
52.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
53.

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

a)

AA

b)

SSS

c)

SAS

d)

Not similar

54.

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

a)

AA

b)

SSS

c)

SAS

d)

no similar

55.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

56.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

57.

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

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

58.

Are the triangles similar? If yes, which postulate proves they are similar?

a)

SSS

b)

ASA

c)

SAS

d)

Not Similar

59.

Are the triangles similar? If so, which postulate proves they are similar?

a)

SSS

b)

SAS

c)

AA

d)

Not Similar

60.

Are the triangles similar? If so, which postulate proves they are similar?

a)

SAS

b)

SSS

c)

ASA

d)

Not Similar

61.

Find the missing side length given that the triangles are similar.

(a)  

62.

Find the missing side length given that the triangles are similar

(a)  

63.

Find the missing side length given that the triangles are similar.

(a)  

64.

Find the missing side length given that the triangles are similar.

(a)  

65.

The triangle pairs are similar. Solve for x.

(a)  

66.

The triangle pairs are similar. Solve for x

(a)  

67.

The triangle pairs are similar. Solve for x

(a)  

68.
Are the triangles similar? Explain.
a)
No, because only one angle of the triangles is congruent.
b)
Yes, because two of the angles are congruent.
c)
No, because only one triangle has a right angle.
d)
Not enough information to determine.
69.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
70.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
71.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
72.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
73.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
74.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
75.
Are the triangles similar?
a)
Yes
b)
No
76.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
77.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
78.
Find missing side
a)
5
b)
7
c)
9
d)
11
79.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
80.
Find side length X.
a)
30
b)
25
c)
15
d)
40
81.
Solve for X
a)
7.5
b)
4.8
c)
13.33
d)
5
82.
Solve for x.
a)
x = 2
b)
x = -1
c)
x = 1
d)
x = 5
83.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
84.

Solve for x.

a)

1

b)

-2

c)

-8

d)

8

85.

What is the value of x?

a)

6

b)

8

c)

10

d)

12

86.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
87.
Solve for x:
a)
33
b)
22
c)
28
d)
16.5
88.
Solve for x:
a)
10
b)
5
c)
20
d)
11
89.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
90.
Solve for x:
a)
8
b)
7.2
c)
8.4
d)
6.4
91.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
92.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
93.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
94.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
95.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
96.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
97.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
98.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
99.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
100.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
101.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
102.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
103.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
104.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
105.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
106.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
107.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO