Font size
S
M
L
XL
WorksheetsSemester 1 final exam review
Total questions: 146
Worksheet time: 4hrs 56mins
Name
Class
Date
1.
What is an incorrect name for the plane shown?
a)
Plane V
b)
Plane SQT
c)
Plane RTS
d)
Plane RQS
2.
Name 4 coplanar points.
a)
H, G, K, E
b)
H, G, F, K
c)
A, K, E, D
d)
E, D, C, F
3.
What is the value of x?
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = 5
4.
What is the distance between the following points:
A(5, -3) & B(7, 4)
A(5, -3) & B(7, 4)
a)
√5 units
b)
√53 units
c)
53 units
d)
5 units
5.
M is the midpoint of segment JL. J has coordinates (2, -1) and M has coordinates (-4, 3). What are the coordinates of L?
a)
(3, -2)
b)
(1, -1)
c)
(-1, 1)
d)
(-10, 7)
6.
The measure of an angle is 3 times greater than its complement. What is the measure of the smaller angle?
a)
22.5⁰
b)
27.5⁰
c)
63.5⁰
d)
67.5⁰
7.
What are the coordinates of the midpoint of a line segment that connects the points (7, -3) and (-5, 6)?
a)
(6, -4.5)
b)
(2, 3)
c)
(2, 0.5)
d)
(1, 1.5)
8.
Name a pair of vertical angles in the diagram
a)
<AEB and <BEC
b)
<DEA and <BEA
c)
<BEC and <CED
d)
<DEC and <AEB
9.
<AEB and <BEC are supplementary
a)
True
b)
False
10.
Vertical angles are congruent
a)
always
b)
sometimes
c)
never
11.
Name a pair of adjacent angles
a)
<DEC and <CEB
b)
AEC
c)
<AEB and <DEC
d)
<BEC and <DEA
12.
Two rays that share an endpoint and extend in opposite directions
a)
angle
b)
opposite rays
c)
ray
d)
plane
13.
If two lines intersect, they intersect in a _____
a)
line
b)
plane
c)
point
d)
ray
14.
If two planes intersect, the intersection is a _____
a)
point
b)
plane
c)
line
d)
arc
15.
What type of angle is <STR?
a)
straight angle
b)
obtuse angle
c)
acute angle
d)
Right angle
16.
Points that lie on the same line
a)
collinear points
b)
coplanar points
c)
line
d)
opposite rays
17.
Ray EA and Ray EB are opposite rays
a)
True
b)
False
18.
a linear pair is supplementary
a)
always
b)
sometimes
c)
never
19.
a)
m∠GHK=90, m∠KHJ=45
b)
m∠GHK=45, m∠KHJ=45
c)
m∠GHK=45, m∠KHJ=90
d)
m∠GHK=90, m∠KHJ=90
20.
RS is the segment bisector. If OQ = 32 and PO = 4x, what does x equal?
a)
8
b)
28
c)
128
d)
36
21.
This polygon is classified as ....
a)
a hexagon
b)
a heptagon
c)
an octogon
d)
a nonagon
22.
If a polygon has sides and angles that are all equal, then it is called a ______ polygon.
a)
regular
b)
concave
c)
simple
d)
normal
23.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
24.
Find the value of x.
a)
x = 6
b)
x = 11
c)
x = 22
d)
x = 5
25.
If GH = 45 and GI = 61, then HI =?
a)
16
b)
106
c)
-16
d)
20
26.
Name this shape
a)
hexagon
b)
pentagon
c)
octagon
d)
parallelogram
27.
Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.
a)
Regular; Concave
b)
Irregular; Convex
c)
Irregular; Concave
d)
Regular; Concave
28.
Tell whether the polygon is regular or irregular. Tell whether it is concave or convex
a)
Regular, Concave
b)
Regular, Convex
c)
Irregular, Concave
d)
Irregular, Convex
29.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
30.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
31.
What is the volume? Round to the nearest whole.
a)
1770
b)
253
c)
443
d)
81
32.
Which formula should you use if you want to find how much water will fill the swimming pool.
a)
πr2+ πrl
b)
πr2h
c)
2πr2+2πrh
d)
lwh
33.
A local restaurant serves French fries in cone-shaped containers. The height of the cone is 20 centimeters and the radius of the cone is 8 centimeters. What is the approximate volume to the nearest hundredth?
a)
1340.41 cm³
b)
4021.24 cm³
c)
1706.67 cm³
d)
3351.03 cm³
34.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
35.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
36.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
37.
What is the value of x if l||m?
a)
-6
b)
22
c)
16
d)
21
38.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
39.
Name the angle relationship.
a)
Alternate Exteriors
b)
Alternate Interiors
c)
Corresponding
d)
Same Side Interiors
40.
Solve for x.
a)
4
b)
11
c)
9
d)
7
41.
Solve for x
a)
22
b)
26
c)
24
d)
23
42.
Solve for x
a)
x = 25
b)
x = 35
c)
x = 30
d)
x = 20
43.
Name the special angle pair name <7& <11
a)
Alternate Interior Angles
b)
Corresponding Angles
c)
Alternate Exterior Angles
d)
Same Side Interior Angles
44.
Name the special angle pair name <10 & <15
a)
Alternate Interior Angles
b)
Corresponding Angles
c)
Alternate Exterior Angles
d)
Same Side Interior Angles
45.
Solve for x.
a)
180
b)
18
c)
56
d)
8
46.
Name the transversal that is made from <10 & <15
a)
m
b)
n
c)
t
d)
s
47.
Name the transversal that is made from <8 and <16
a)
m
b)
n
c)
t
d)
s
48.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
49.
Find m∠TWV
a)
106°
b)
84°
c)
104°
d)
76°
50.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
51.
Which of the following angle pair relationships are not congruent (given that the lines are parallel)
a)
Corresponding
b)
Alternate Interior
c)
Same Side Interior
d)
Vertical Angles
52.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
53.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
54.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
55.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
56.
Find the slope of a line parallel to the line below.
y = 2x + 4
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
57.
Find the slope of a line perpendicular to the line below.
y = 2x + 4
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
58.
Which equation is perpendicular to:
y = -6x +2
y = -6x +2
a)
y = 6x +1
b)
y = -1/6x +4
c)
y = -6x +3
d)
y = 1/6x +5
59.
Lines r and s are cut by a transversal. What value of x proves r is parallel to s?
a)
43
b)
37
c)
143
d)
37
60.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
61.
What is the value of x if line l is parallel to line m?
a)
22
b)
26
c)
24
d)
23
62.
Angles x and y are....
a)
alternate interior
b)
alternate exterior
c)
corresponding
d)
consecutive interior
63.
Write the equation of the line that contains the points (1,-3) and (7,15).
a)
y=-3x+8
b)
y=3x
c)
y=3x-6
d)
y=3x-10
64.
Given A(2,3), B(8,7) and C(6,1), which coordinate will make AB perpendicular to CD?
a)
D(3,3)
b)
D(4,4)
c)
D(8,4)
d)
D(9,3)
65.
What is the distance between parallel lines whose equations are y=2x+7 and y=2x-3
a)
√2
b)
√5
c)
2√5
d)
4√2
66.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
67.
Write a linear equation that goes through the points (-4, 8) and (-5, 11)
a)
y = 3x + 20
b)
y = 1/3x + 9 1/3
c)
y = -3x - 4
d)
y = -1/3x + 7 1/3
68.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
69.
What is the equation of a line that is perpendicular to the line y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = 3x -15
70.
Identify a segment skew to JK.
a)
AB
b)
CD
c)
JH
d)
GF
71.
What is the measure of the missing angle?
a)
20
b)
130
c)
30
d)
50
72.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
73.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
74.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
75.
Solve for x THEN find the degree measure for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
76.
What is OE congruent to?
a)
Triangle OEL
b)
<E
c)
<L
d)
OE
77.
In the image, triangle JKL is congruent to ________________.
a)
triangle PMN
b)
triangle NMP
c)
quadrilateral PNM
d)
triangle MNP
78.
In the image, side JK is congruent to ________________.
a)
side MN
b)
side NP
c)
side PM
d)
side JL
79.
In the image, angle K is congruent to ________________.
a)
angle N
b)
angle M
c)
angle P
d)
angle L
80.
In the image, triangle DEF is congruent to ________________?
a)
triangle RPQ
b)
triangle PQR
c)
triangle QRP
81.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
82.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
83.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
84.
Classify the following triangle by its sides and angles.
a)
Isosceles, Acute
b)
Isosceles, Obtuse
c)
Scalene, Obtuse
d)
Equilateral, Acute
85.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
86.
a)
obtuse scalene
b)
right isosceles
c)
scalene acute
d)
acute isosceles
87.
Find m<A.
a)
12
b)
24
c)
132
d)
36
88.
Find x
a)
9
b)
2
c)
6
d)
4
89.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
90.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
91.
The sum of all angles in a triangle is always...
a)
180o
b)
360o
c)
90o
d)
60o
92.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
93.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
94.
x=
y=
Choose 2 answers
a)
7
b)
25
c)
6
d)
11
e)
18
95.
∠ABC≅ ?
a)
∠PMN
b)
∠NPM
c)
∠NMP
d)
∠MNP
96.
Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B
[Hint: DRAW A PICTURE!]
a)
22
b)
11
c)
10
d)
2
97.
a)
Definition of ≅ ; SSS
b)
Reflexive Property of ≅ ; SAS
c)
Reflexive Property of ≅ ; SSS
d)
Definition of ≅; SAS
98.
From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain. There can be more than one answer. Select ALL correct answers.
a)
yes, by ASA
b)
yes, by AAA
c)
yes, by AAS
d)
yes, by SAS
e)
yes, by SSA
99.
Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?
a)
either ASA or AAS
b)
ASA only
c)
AAS only
d)
neither
100.
Supply the missing reasons to complete the proof.
Given: ∠Q ≅ ∠T; QR ≅ TR
a)
3. ASA
4.Substitution
b)
3. SAS
4. CPCTC
c)
3. AAS
4. CPCTC
d)
3. ASA
4. CPCTC
101.
If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]
a)
MN = PR
b)
∠M ≅ ∠P
c)
NO = QR
d)
∠N ≅ ∠Q
102.
Identify the transformation from ABC to A'B'C'.
a)
Rotation about the origin
b)
Translation up 2 units
c)
Reflection across the y-axis
d)
Reflection across the x-axis
103.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
104.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
105.
Find the measure of the missing angles.
a)
A
b)
B
c)
C
d)
D
106.
Find the measure of the missing angles.
a)
A
b)
B
c)
C
d)
D
107.
Solve for x.
a)
A
b)
B
c)
C
d)
D
108.
What is the measure of <ACD?
a)
51º
b)
141º
c)
101º
d)
39º
109.
What is the "reason" for step 3 of the proof?
a)
Vertical Angle Theorem
b)
given
c)
reflexive property
d)
subsitution
110.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
111.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
112.
If triangle EFI = triangle HGI, what angle corresponds with < F?
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
113.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
114.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
115.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
116.
What are the missing coordinates of this triangle?
a)
(2a, 2c)
b)
(0, 2a)
c)
(2a, 0)
d)
(a, 2a)
117.
What is the reason?
a)
Definition of congrucent
b)
Definition of midpoint
c)
Definition of segment
d)
Segment Addition
118.
What is the reason?
a)
Definition of Right angle
b)
Definition of obtuse Angle
c)
Definition of angle
d)
Definition of acute angle
119.
What is the reason?
a)
Transitive
b)
Substitution
c)
Middle Man
d)
Replacing
120.
What is the reason?
a)
Definition of Complementary
b)
Definition of 180
c)
Definition of supplementary
d)
Angle Addition
121.
What is the reason?
a)
Angle Addition
b)
Segment Addition
c)
Definition of Congruence
d)
Definition of Between
122.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Symmetric Property of Congruence
d)
Reflexive Property of Congruence
123.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
124.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
125.
What is the REASON for Statement #5?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
126.
What is the REASON for Statement #6?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
127.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
128.
What is the value of x?
a)
90
b)
45
c)
180
d)
51
129.
Which property justifies the next step?
a)
Segment addition postulate
b)
Definition of an angle bisector
c)
Angle addition postulate
d)
Definition of right angles
130.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
131.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
132.
The type of reasoning where a person makes conclusions based on observations and patterns is called...
a)
Inductive reasoning
b)
Deductive reasoning
c)
Conjecture
d)
Experiments
133.
Use inductive reasoning to predict the next three numbers in the pattern. 9, 3, 1, 1/3, 1/9
a)
1/27, 1/81, 1/243
b)
1, 2, 3
c)
27, 81, 243
d)
6, 12, 15
134.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
135.
For the inverse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
136.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
137.
This symbol, ∧, means?
a)
and
b)
or
c)
not
d)
implies
138.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
139.
Write the converse of the statement:
If an animal is a dog then it does not moo.
If an animal is a dog then it does not moo.
a)
If an animal is not a dog then it does moo
b)
If an animal can moo then it is not a dog
c)
If an animal does not moo then it is a dog
d)
An animal is a dog if and only if it can moo
140.
Which law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
a)
Law of Detachment
b)
Law of Contrapositive
c)
Law of Syllogism
d)
Law of Biconditional
141.
Which law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
a)
Law of Detachment
b)
Law of Contrapositive
c)
Law of Syllogism
d)
Law of Biconditional
142.
Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore
a)
look out for the snowplows while driving to school.
b)
the big test will not be given today.
c)
the roads will be hard to drive on.
d)
you should call the school to see if school is canceled.
143.
What is the conclusion made using syllogism: If it rains on my bike, then it will get rusty.
If it gets rusty, then I can't ride it anymore.
If it gets rusty, then I can't ride it anymore.
a)
If it rains on my bike, then I can ride it.
b)
If it gets rusty, then I can't ride it.
c)
If it rains on my bike, then I can't ride it anymore.
d)
None of the above
144.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?
a)
Figure A is a polygon.
b)
Figure A is a circle.
c)
Figure A is a square.
d)
No valid conclusion can be drawn
145.
All basketball players in your school are tall, so all basketball players must be tall.
a)
Deductive
b)
Inductive
146.
It is dangerous to drive on icy streets. The streets are icy now so it is dangerous to drive now.
a)
Deductive
b)
Inductive
Reset
