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Integrated Math II/III Exam Review S1

Total questions: 90

Worksheet time: 4hrs 52mins

Name
Class
Date
1.

What are the five shortcuts to prove similarity in triangles?

4 lines
2.
Name a pair of alternate exterior angles.
a)
angle 1 & angle 2
b)
angle 2 & angle 7
c)
angle 1 & angle 7
d)
angle 1 & angle 8
3.
Name a pair of alternate interior angles.
a)
angle 3 & angle 4
b)
angle 5 & angle 6
c)
angle 3 & angle 6
d)
angle 3 & angle 5
4.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
5.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical 
6.
What is the Angle Relationship
a)
Alternate Interior
b)
vertical 
c)
Corresponding
d)
adjacent 
7.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
8.
These angles are congruent.
a)
All of these
b)
Corresponding
c)
Alternate Interior
d)
Vertical
9.
Are these triangles similar?
a)
Yes
b)
No
10.
Which statement about the triangles at the right is true?
a)
ΔABC is not similar to ΔADF
b)
ΔABC is similar to ΔADF
c)
∠BAC is not congruent to ∠DAF
d)
ΔABC is congruent to ΔADF
11.

The length ratio between two similar solids is 3 : 7.

What is the area ratio between the two solids?

(a)  

12.

The ratio of the height of solid P to the height of solid Q is 5 : 4. The volume of solid P is 150cm3.

Calculate the volume of solid Q.

(a)  

13.

The side ratio of two similar solids is 3/5. What is the ratio of volumes?

a)

3/5

b)

81/625

c)

9/25

d)

27/125

14.

The ratio of similarity for two shapes is r= 2/5. The large solid has a base area of 125 ft2. What is the base AREA of the small shape?

a)

20

b)

781.25

c)

50

d)

312.5

15.

What is the volume of the small cone?

a)

512 m³

b)

1024 m³

c)

4000 m³

d)

3200 m³

16.

What is the surface area of the small cone?

a)

17.8 cm²

b)

44.4 cm²

c)

7.1 cm²

d)

22.2 cm²

17.

Find the value of x.

Type a number only.

(a)  

18.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
19.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
20.
Which is the correct reason for statement 2 in the proof?
a)
Given
b)
Transitive Property
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
21.
What is the missing statement in the proof?
a)
2m∠ABD=m∠ABD+m∠ABD
b)
m∠ABD=m∠DBC
c)
m∠ABC=m∠ABC
d)
m∠ABD+m∠ABD=m∠ABD+m∠DBC
22.
What is the missing statement in the proof?
a)
m∠ABD+m∠DBC=m∠ABC
b)
m∠ABD=m∠DBC
c)
m∠ABC=m∠ABC
d)
none of the other choices are correct
23.
Which symbol means "perpendicular"?
a)
∏
b)
∥
c)
∠
d)
⊥
24.
a)

Corresponding

b)

Alt Ext Angle

c)

vertical

d)

Alt Int Angle

25.

Which proof is incorrect?

a)
b)
c)
d)
26.

1) Which statement restates the Given from the question?

a)
b)
c)
27.

13) What is the reason for Statement 4?

a)

Substitution

b)

Converse of Alternate Exterior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Converse of Same-side Interior Angles Theorem

28.
If DA bisects IE, then
a)
ID=ED
b)
IA=EA
c)
<IDA=<EDA
d)
<IAD and <EAD are right angles
29.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
30.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
31.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

32.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
33.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
34.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
35.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
36.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
37.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
∠F≅∠Q
b)
∠G≅∠R
c)
∠H≅∠S
d)
FH = QS
38.
What missing piece of information is needed to prove the triangles congruent using ASA?
a)
GC = CD
b)
CE = CD
c)
∠GCE≅∠BCE
d)
BD = GE
39.
The dotted line represents a ?...
a)
median
b)
centroid
c)
midsegment
d)
midpoint
40.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
41.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
42.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
43.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
44.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
45.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
46.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
47.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
48.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
49.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
50.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

51.
This construction forms a __________.
a)
Perpendicular Bisector
b)
Perpendicular Line
c)
A lowercase "t" flipped to the side
d)
Line Segment
52.
a)
x = 23, y = 10
b)
x = 10, y = 23
53.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
54.
a)
x = 40 , y = 40 
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
55.
The figure is a parallelogram.  
Solve for x.  
a)
12
b)
4
c)
6
d)
2
56.
In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x. 
a)
15
b)
20
c)
30
d)
130
57.
Diagonals of a parallelogram bisect each other
a)
always true
b)
sometimes true
c)
never true
58.
diagonals of a square are congruent 
a)
always true
b)
sometimes true
c)
never true
59.

Given x = 5, what is the measure of angle WXY

a)

13

b)

17

c)

180

d)

30

60.

What is the value of x in the illustration?

a)

3

b)

4

c)

5

d)

6

61.

In kite ABCD, m<DAE = 42, what is m<ABE?

a)

180°180\degree

b)

90°90\degree

c)

48°48\degree

d)

42°42\degree

62.

What is the rule for a 45-45-90 triangle?

a)

x, x, x2x,\ x,\ x\sqrt{2}

b)

x, x3, 2xx,\ x\sqrt{3},\ 2x

63.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
64.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
65.

What is the rule for a 3-60-90 triangle?

a)

x, x, x2x,\ x,\ x\sqrt{2}

b)

x, x3, 2xx,\ x\sqrt{3},\ 2x

66.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
67.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
68.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
69.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

70.
How long is e?
a)
3
b)
6
c)
6√3
d)
6√2
71.

If the length of the hypotenuse in this triangle is 16, find the length of one leg.

a)

8

b)

828\sqrt{2}

c)

32

d)

16216\sqrt{2}

72.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

73.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

74.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

75.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
76.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
77.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
78.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
79.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

80.

Find the total surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

81.
Find the volume of the cone.  Use 3.14 for π.  Round decimal answers to the nearest tenth.
radius = 10 in
height = 25 in
a)
7850 in3
b)
2616.7 in3
c)
785 in3
d)
261.7 in3
82.
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
a)
4825.5 ft3
b)
1206.4 ft3
83.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m3

b)

1038.82 m3

c)

804.24 m3

d)

1005.31 m3

84.
Find the volume.
a)
151.2
b)
163.7
c)
179.1
d)
186.3
85.
Find the area of the triangle
a)
72 meters squared
b)
8.8 meters squared
c)
18.09 meters squared
d)
70.2 meters squared
86.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

87.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
88.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

89.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
90.

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49o and Stake B measures an angle of elevation of 58o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

a)

152.7 feet

b)

166.3 feet

c)

157.3 feet

d)

131.7 feet

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