WorksheetsGeometry Honors Final Exam Review - S1
Total questions: 78
Worksheet time: 2hrs 21mins
Name
Class
Date
1.
Which property is used in step 4?
Step 1: 2x - 8 = 6
Step 2: 2x - 8 + 8 = 6 + 8
Step 3: 2x = 14
Step 4: 2x = 14
2 2
Step 5: x =7
Step 1: 2x - 8 = 6
Step 2: 2x - 8 + 8 = 6 + 8
Step 3: 2x = 14
Step 4: 2x = 14
2 2
Step 5: x =7
a)
Divison property of equality
b)
Subtraction property of equality
c)
Multiplication property of equality
d)
Addition property of equality
2.
Find the measure of angle A.
a)
75o
b)
60o
c)
30o
d)
38o
3.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
4.
Use the congruence statement and figure to find the missing part of the statement
a)
∠FEG
b)
∠HEF
c)
∠EFH
d)
∠H
5.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
6.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
7.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
8.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
9.
Find the measure of the indicated angle.
a)
145 degrees
b)
24 degrees
c)
20 degrees
d)
21 degrees
10.
What does the Reflexive property of equality states?
a)
If numbers are equal, they will still be equal if the order is changed.
b)
A number is equal to itself.
c)
If numbers are equal to the same number, then they are equal to each other.
d)
Subtracting the same number from both sides or an equation does not change the equality of the equation.
11.
What does the Substitution Property of Equality states?
a)
Multiplying both sides of an equation by the same number, other than 0, does not change the equality of the equation.
b)
If numbers are equal, they will still be equal if the order is changed.
c)
If two numbers are equal, then substituting one in for another does not change the equality of the equation.
d)
Adding the same number from both sides or an equation does not change the equality of the equation.
12.
What is 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
13.
Write a counterexample for the following statement:
If Melissa lives in Virginia, then she lives in Richmond.
If Melissa lives in Virginia, then she lives in Richmond.
a)
She lives in VA
b)
She lives in Chesapeake
c)
She lives in Pittsburgh
d)
None of the above
14.
Original Statement:
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
None of the above
15.
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.
16.
Original: If Emily is not late to class, then she will not be marked tardy.
New: If Emily is late to class, then she will be marked tardy.
New: If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
17.
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.
18.
If it is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
19.
If it is a number, then it is either positive or negative. What is an appropriate counterexample?
a)
10
b)
-2
c)
0
d)
True. There is no counterexample.
20.
If it is a vehicle, then it is a Ford. What is an appropriate counterexample?
a)
Ford Mustang
b)
Dodge Charger
c)
Ford F150
d)
Both A and C are counterexamples.
21.
If a shape is round, then it is a circle. What is an appropriate counterexample?
a)
hexagon
b)
oval
c)
triangle
d)
square
22.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
Conclusion: if you have lots of friends
23.
What is division property of equality
a)
a. If a=b, then a+c=b+c
b)
b. If a=b, then a-c=b-c
c)
c. If a=b, then ac=bc
d)
d. If a=b, then a/c=b/c
24.
What is the Distributive property of equality
a)
a. If a=b, then a can be substituted for b in any equation or expression
b)
b. a(b+c)=ab+ac
c)
c For any real number a, a=a .
d)
d. If a=b, then b=a
25.
What is the Transitive property of equality
a)
a. If a=b, then a can be substituted for b in any equation or expression
b)
b. a(b+c)=ab+ac
c)
c If a=b, and b=c, then a=c
d)
d. If a=b, then b=a
26.
What is the Reflexive property of equality
a)
a. If a=b, then a can be substituted for b in any equation or expression
b)
b. a(b+c)=ab+ac
c)
c For any real number a, a=a .
d)
d. If a=b, then b=a
27.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
28.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
29.
What is the value of x?
a)
64
b)
46
c)
127
d)
38
30.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
31.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
32.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
33.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
34.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
35.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
36.
Complete the next two terms in the sequence.
-2, 8, -32, 128, -512, _____, _______
-2, 8, -32, 128, -512, _____, _______
a)
-2048, 8192
b)
2048, -8192
c)
2048, 8192
d)
-2048, -8192
37.
Is the term POINT, defined or undefined?
a)
Defined
b)
Undefined
38.
Is the term SEGMENT defined or undefined?
a)
Defined
b)
Undefined
39.
Is the term LINE defined or undefined?
a)
Defined
b)
Undefined
40.
Is the term ANGLE defined or undefined?
a)
Defined
b)
Undefined
41.
Is the term RAY defined or undefined?
a)
Defined
b)
Undefined
42.
Is the term PLANE defined or undefined?
a)
Defined
b)
Undefined
43.
Is the term CIRCLE defined or undefined?
a)
Defined
b)
Undefined
44.
Is the term ARC defined or undefined?
a)
Defined
b)
Undefined
45.
An angle is a figure formed by two _________ with a common __________.
a)
rays, ray
b)
lines, vertex
c)
rays, endpoint
d)
line segments, point
46.
Point B lies on a number line between points A and C. The coordinate of A is -9 and the coordinate of C is 12. The distance between A and B is ⅓ of AC. What is the coordinate of B?
a)
-8
b)
-7
c)
-2
d)
9
47.
If K is the midpoint of ER, EK = x+5, and ER = 4x+2, what is the length of KR?
a)
1
b)
4
c)
6
d)
9
48.
If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?
a)
19°
b)
38°
c)
62°
d)
76°
49.
If ∠KLM and ∠PQR are complementary, m∠KLM = 4x − 3, and m∠PQR = x + 13, which is m∠KLM?
a)
16°
b)
61°
c)
83°
d)
105°
50.
A line segment is drawn on a coordinate plane with endpoints R(−10, −4) and S(10, 11). Point T(−2, 2) is also on line segment RS. What is the ratio of the length of line segment RT to the length of line segment TS?
a)
1:1
b)
2:5
c)
3:5
d)
2:3
51.
The midpoint of line segment FG is (6 –4) and the coordinates of point F are (–3, 6). What are the coordinates of point G?
a)
(1.5, 1)
b)
(1.5, –10)
c)
(15, 1)
d)
(15, -14)
52.
Which definition justifies this statement?
If ∠JKL is a right angle, then JK⊥KL.
If ∠JKL is a right angle, then JK⊥KL.
a)
complementary angles
b)
perpendicular lines
c)
right angle
d)
parallel lines
53.
Choose the missing reason in the proof.
Given: Line AB and Line CD intersect at point F.
Prove: ∠AFC≅∠BFD
Statement 1. ∠AFC and ∠BFD are vertical angles Reason -Definition of vertical angles
Statement 2. ∠AFC≅∠BFD -Reason __________
Given: Line AB and Line CD intersect at point F.
Prove: ∠AFC≅∠BFD
Statement 1. ∠AFC and ∠BFD are vertical angles Reason -Definition of vertical angles
Statement 2. ∠AFC≅∠BFD -Reason __________
a)
definition of vertical angles
b)
definition of supplementary angles
c)
Vertical Angles Theorem
d)
Congruent Complements Theorem
54.
What is the slope of a line perpendicular to the line passing through (–23, 8) and (12, –17)?
a)
5/7
b)
-5/7
c)
-7/5
d)
7/5
55.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
56.
a)
30°
b)
60°
c)
90°
d)
120°
57.
a)
50°
b)
60°
c)
80°
d)
100°
58.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
59.
Solve for x.
a)
16
b)
11
c)
50
d)
6
60.
Identify the property of equality.
If 9=x, then x=9
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
61.
Identify the property of equality.
If x+9=2,
then x+9-9=2-9
If x+9=2,
then x+9-9=2-9
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
62.
Identify the property of equality.
39=39
39=39
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
63.
Identify the property of equality.
If 31=2x-5, then 2x-5=31
If 31=2x-5, then 2x-5=31
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
64.
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
a)
2/3
b)
4/5
c)
1/2
d)
3/2
65.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
66.
What is the hypothesis of this conditional?
a)
Sally goes to the park.
b)
Sally will fall off the swing.
c)
Parks don't have swings that Sally goes to.
d)
If Sally falls off the swing, she goes to the park.
67.
Take the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 3, then it is divisible by 6."
"If a number is divisible by 3, then it is divisible by 6."
a)
True
b)
9
c)
18
d)
36
68.
Take the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 6, then it is divisible by 3."
"If a number is divisible by 6, then it is divisible by 3."
a)
True
b)
9
c)
18.
d)
21
69.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
70.
If DA is perpendicular to IE, then we can immediately conclude that
a)
IA=AE
b)
<IAD = <DAE
c)
<IDA=<EDA
d)
<IAD and <DAE are right angles
71.
If DA bisects EI, then
a)
<IDA = <EDA
b)
AI=EA
c)
Both 1 and 2 are correct
d)
DI=ED
72.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
73.
What other congruent piece do you need to prove the triangles congruent by SSS?
a)
A
b)
B
c)
C
d)
D
74.
Splits the angle into two congruent smaller angles.
a)
Segment Bisector
b)
Angle Bisector
c)
perpendicular lines
75.
Intersects a segment at its midpoint
a)
Angle bisector
b)
midpoint
c)
Segment bisector
d)
perpendicular line
76.
Original: If Emily is not late to class, then she will not be marked tardy.
New: If Emily is late to class, then she will be marked tardy.
New: If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
77.
Which property is used in step 4?
Step 1: 2x - 8 = 6
Step 2: 2x - 8 + 8 = 6 + 8
Step 3: 2x = 14
Step 4: 2x = 14
2 2
Step 5: x =7
Step 1: 2x - 8 = 6
Step 2: 2x - 8 + 8 = 6 + 8
Step 3: 2x = 14
Step 4: 2x = 14
2 2
Step 5: x =7
a)
Divison property of equality
b)
Subtraction property of equality
c)
Multiplication property of equality
d)
Addition property of equality
78.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
100 %
