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WorksheetsConnections Final Exam Review
Total questions: 100
Worksheet time: 7hrs 56mins
Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
2.
What kind of angles are these?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
3.
Find the missing angle.
a)
29°
b)
39°
c)
49°
d)
59°
4.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse
5.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
8.
Find x
a)
110
b)
99
c)
10
d)
9
9.
By what postulate are these two triangles similar?
a)
ASA
b)
SAS
c)
SSA
d)
AA
10.
Find the measure of the indicated angle.
a)
80
b)
58
c)
42
d)
138
11.
Find the measure of the indicated angle.
a)
85
b)
33
c)
4
d)
65
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
15.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
16.
What is the "statement" for step 3 of the proof?
a)
HT=TA
b)
HA=AH
c)
MA=AM
d)
MA=MH
17.
Identify the missing statement or reason
a)
LN≅MJ
b)
JK≅NK
c)
MK≅LK
d)
∠JKM≅∠NKL
18.
Identify the missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
19.
Identify the missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
20.
Identify the missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint
21.
What is the "reason" for step 2 of the proof?
a)
reflexive property
b)
proof
c)
SAS
≅ thrm
≅ thrm
d)
given
22.
What is the "reason" for step 3 of the proof?
a)
Vertical Angle Theorem
b)
given
c)
reflexive property
d)
proof
23.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
24.
What is the reason?
a)
Definition of Complementary
b)
Definition of 180
c)
Definition of supplementary
d)
Angle Addition
25.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent
26.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
27.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
28.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
29.
Simplify the ratio of
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
30.
88 students for 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
31.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
32.
Radius: 11 feet
Circumference:
Circumference:
a)
11
b)
379.94
c)
34.54
d)
69.08
33.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
34.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
35.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
36.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
160
d)
1600 feet
37.
What is the PERIMETER of this rectangle?
a)
22 sq. yd.
b)
22
c)
22 cm
d)
22 yd.
38.
Find the perimeter
a)
25cm
b)
35cm
c)
50cm
d)
100cm
39.
diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
40.
What is/are the formula(s) to find the circumference of a circle?
a)
3π6
b)
4π
c)
2πr πd
41.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
42.
Write the ratio as a fraction in simplest form.
24 players : 3 teams
24 players : 3 teams
a)
8:3
b)
8 to 1
c)
8/1
d)
8/3
43.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
44.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
45.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
46.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
47.
Identify the value for z.
a)
90°
b)
360°
c)
122°
d)
180°
48.
Find the scale factor.
a)
4:1
b)
1:3
c)
2:1
d)
7:3
49.
Solve for y.
a)
28
b)
14
c)
56
d)
18⅔
50.
Find missing side
a)
5
b)
7
c)
9
d)
11
51.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
52.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
53.
a)
The tree is 6 feet tall
b)
The tree is 12 feet tall
c)
The tree is 18 feet tall
d)
The tree is 24 feet tall
54.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
55.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
56.
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?
a)
3:5
b)
1:3
c)
3:11
d)
3:10
57.
Which ratio represents the relationship of bananas to apples?
a)
3:8
b)
8:3
c)
3:2
d)
2:3
58.
Solve the proportion
a)
1
b)
3
c)
9
d)
8
59.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
60.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?
a)
63 m
b)
235 m
c)
315 m
d)
630 m
61.
How do these triangles appear to be similar?
a)
AAA
b)
SAS
c)
SSS
d)
Not Similar
62.
How do these triangles appear to be similar?
a)
AAA
b)
SAS
c)
SSS
d)
Not Similar
63.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AAA
b)
SAS
c)
SSS
d)
Not Similar
64.
Are the triangles similar?
a)
Yes
b)
No
65.
The triangles are similar by...
a)
SAS
b)
AAA
c)
ASA
d)
SSS
66.
If I want to prove 2 triangles are similar and I have all 3 sides what should I use?
a)
AAA
b)
SSS
c)
SAS
d)
ASA
67.
If I want to prove 2 triangles are similar and I have at least 1 angles in each triangle and at least 2 sides in each triangle what should I use?
a)
AAA
b)
SSS
c)
SAS
d)
ASA
68.
Is there ever a time where I can use ASA to prove 2 triangles are similar?
a)
Yes
b)
No
69.
Is DE parallel to BC?
a)
Yes
b)
No
70.
Find missing side
a)
5
b)
7
c)
9
d)
11
71.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
72.
Find the missing length indicated. Leave your answer in simplest radical form.
a)
64
b)
12
c)
9
d)
100
73.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
74.
Solve for BE
a)
4.5
b)
18
c)
3.6
d)
4
75.
Solve for the variable x.
a)
x = 16.8
b)
x = 26.25
c)
x = 8.6
d)
x = 2.4
76.
Solve for the variable x.
a)
x = 3.2
b)
x = 80
c)
x = 3
d)
x = 6
77.
Find the measure of the midsegment XY:
a)
7.5
b)
3.75
c)
2
d)
3
78.
Find the measure of the midsegment XY:
a)
21
b)
9
c)
12
d)
10.5
79.
Find the surface area of the rectangular prism with the following dimensions:
length = 11 m
height = 7 m
width = 2 m
length = 11 m
height = 7 m
width = 2 m
a)
226 m squared
b)
220 m squared
c)
150 m squared
d)
154 m squared
80.
Find the surface area of the rectangular prism with the following dimensions:
length = 9 m
height = 10 m
width = 12 m
length = 9 m
height = 10 m
width = 12 m
a)
630 m squared
b)
636 m squared
c)
710 m squared
d)
1080 m squared
81.
Find the surface area of the triangular prism.
a)
196 ft2
b)
96 ft2
c)
98 ft2
d)
108 ft2
82.
What is the surface area of the cylinder to the nearest square inch?
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
83.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
84.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
85.
Find the Surface Area of the cylinder. Round to the nearest tenth.
a)
3015.9 cm2
b)
1155.5 cm2
c)
578.1 cm2
d)
779.1 cm2
86.
Find the surface area
a)
60.4 m2
b)
188.4 m2
c)
94.2 m2
d)
881.9 m2
87.
Volume is the amount of space an object takes up.
a)
True
b)
False
88.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
89.
A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
90.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
91.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
92.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
93.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
94.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
95.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
96.
What is the formula for the volume of a prism?
a)
V = P*h
b)
V = B*h
c)
V = (1/3)P*h
d)
V = (1/3)B*h
97.
What is the formula for volume of a CONE?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
98.
What is the formula for the volume of a pyramid?
a)
V = P*h
b)
V = B*h
c)
V = (1/3)P*h
d)
V = (1/3)B*h
99.
What is the volume formula for a sphere?
a)
V = (4 ∕ 3)πr3
b)
V = (1 ∕ 3)πr2h
c)
V = πr2h
d)
V = (1 ∕ 3)Bh
100.
What is the formula for volume of a CYLINDER?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
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