WorksheetsFinal Exam Review
Total questions: 100
Worksheet time: 3hrs 32mins
Name
Class
Date
1.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
2.
An example of coplanar points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
3.
What does this notation mean?
a)
Line CG
b)
Segment CG
c)
Ray CG
d)
Plane CG
4.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
5.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides.
d)
To cut something into two congruent pieces or in half.
6.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
7.
Let B be between A and C.
a)
2
b)
1
c)
11
d)
15
8.
Solve
a)
x = 6
b)
x = 7
c)
x = 12
d)
x = 144
9.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
10.
Which angle pairs are always congruent?
a)
supplementary angles
b)
complementary angles
c)
vertical angles
d)
linear angles
11.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
12.
Name a pair of angles that are vertical.
a)
Angles 4 and 5
b)
Angles 7 and 9
c)
Angles 8 and 9
d)
Angles 5 and 7
13.
Name a pair of adjacent angles.
a)
Angles 3 and 5
b)
Angles 1 and 2
c)
Angles 4 and 6
d)
Angles 7 and 10
14.
Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of the Contrapositive
d)
Not valid
15.
Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of the Contrapositive
d)
Not valid
16.
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
17.
p→q
q→r
∴p→r
Which law is modeled?
q→r
∴p→r
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
18.
p→q
p
∴q
Which law is modeled?
p
∴q
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
19.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
20.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
21.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
22.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
23.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
24.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
25.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
26.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
27.
Question #13
a)
x = 25
b)
x = 35
c)
x = 30
d)
x = 20
28.
Question #12
a)
x = 25
b)
x = 35
c)
No Solution
d)
Infinite Solutions
29.
Question #11
a)
30°
b)
74°
c)
76°
d)
65°
30.
y = 3/2x + 3
y = -2/3x - 3/2
y = -2/3x - 3/2
a)
perpendicular
b)
parallel
c)
neither
31.
Line w has a slope of -5. Which line is parallel to line w?
a)
y = 6x - 5
b)
y = 5x + 6
c)
y = 6 - 5x
32.
3x + 2y = 5
3y + 2x = -3
3y + 2x = -3
a)
perpendicular
b)
parallel
c)
neither
33.
Given the line 2x-3y=9, write the equation of a line perpendicular to it that passes through the point (4, -1)
a)
y = 3/2x - 7
b)
y = -2/3x + 5/3
c)
y = 2/3x - 11/3
d)
y = -3/2x + 5
34.
Write an equation of a line parallel to
y = x + 3
through (5, 3)
y = x + 3
through (5, 3)
a)
y = x + 2
b)
y = -2x + 1
c)
y = 2x + 1
d)
y = x - 2
35.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
36.
a)
A
b)
B
c)
C
d)
D
37.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
38.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
39.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
40.
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
41.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
42.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
43.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
44.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
45.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
46.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
47.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
48.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
49.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
50.
a)
DE≅WV
b)
DE≅DF
c)
FE≅XV
d)
XV≅WX
51.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
52.
When does one use CPCTC?
a)
Before triangles are congruent
b)
After triangles are congruent
c)
Whenever one wants, there are no restrictions
d)
There is no such thing as CPCTC
53.
Find m<C
a)
180
b)
60
c)
120
d)
30
54.
What is the value of y?
a)
7
b)
4
c)
6
d)
14
55.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
56.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
57.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
58.
IJ is a midsegment of triangle MLN. What is the length of segment IJ?
a)
9
b)
6
c)
18
d)
0
59.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
60.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
61.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
62.
Find x, then the measure of JK
a)
x=10, JK=50
b)
x=10, JK=100
c)
x=15, JK=100
d)
x=15, JK=50
63.
Find SV
a)
18
b)
36
c)
21
d)
9
64.
Find the length of TU
a)
15
b)
12
c)
26
d)
13
65.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
66.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
67.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
68.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
69.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
70.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
71.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
72.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
73.
Which of the following is a possible length for segment AC
a)
10
b)
15
c)
17
d)
9
74.
Acute, right, or obtuse
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
75.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
76.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
77.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
78.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
79.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
80.
a)
x=8√3 y=4√3
b)
x=4√3 y=8√3
c)
x=4 y=8
d)
x=8 y=4√3
81.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
82.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
83.
The diagonal of a square is 13√2 cm. What is the perimeter of the square?
a)
13 cm
b)
26 cm
c)
13√3 cm
d)
52 cm
84.
A side of a square is 2 m. What is the length of the diagonal of the square?
a)
2√3 m
b)
8 m
c)
2√2 m
d)
4 m
85.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
86.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
87.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
88.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
90.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
90.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
91.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
92.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
93.
What type of triangle is this?
a)
equilateral
b)
obtuse
c)
scalene
d)
isosceles
94.
What is the slope of the line that passes through the following points:
(9, 3) and (7, 8).
(9, 3) and (7, 8).
a)
6
b)
3
c)
-5/2
d)
6
95.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
96.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
97.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
98.
What is the name of this polygon?
a)
a pentagon
b)
a quadrilateral
c)
an octagon
d)
a triangle
99.
A special parallelogram in which all the sides are the same length.
a)
hexagon
b)
rhombus
c)
rectangle
d)
pentagon
100.
If BCDE ≅ OPQR, then CD is congruent to _____?_____.
a)
OR
b)
PQ
c)
OP
d)
QR
100 %
