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WorksheetsQuiz Final Review
Total questions: 120
Worksheet time: 2hrs 7mins
Name
Class
Date
1.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
2.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
3.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
4.
Name the slope
a)
Negative
b)
0
c)
Undefined
d)
Positive
5.
Name the slope.
a)
0
b)
Positive
c)
Undefined
d)
negative
6.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
7.
Congruent by
a)
SAS
b)
Not Congruent
c)
ASA
d)
AAS
8.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
9.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
10.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
11.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior
12.
Choose a line that is parallel to y = 6x + 12.
a)
y = 6x – 27
b)
y = 12x - 9
c)
y = x + 3
d)
y = -6x + 5
13.
Choose a line that is perpendicular to y = -7x + 12.
a)
y = 12x + 7
b)
y = −7x - 9
c)
y = 1/7x + 3
d)
y = -1/7x - 27
14.
Find the midpoint of the segment given the following endpoints:
(5, -2) and (5, 4)
(5, -2) and (5, 4)
a)
( 10, 6)
b)
( 5, 6)
c)
(6, 10)
d)
(5, 1)
15.
Find the value of x.
a)
122
b)
114
c)
57
d)
83
16.
If m∠2 = 124⁰, then m∠1 = _____
a)
56°
b)
124°
17.
If ∆EFG ≅ ∆HJK, complete the following congruence statement.
EG ≅ ___________.
EG ≅ ___________.
a)
JK
b)
EG
c)
HJ
d)
HK
18.
For the following pairs of triangles, mark the pictures with any necessary information then determine the reason the triangles can be proven congruent, or select “not congruent”.
a)
SAS
b)
AAS
c)
HL
d)
Not congruent
19.
For the following pairs of triangles, mark the pictures with any necessary information then determine the reason the triangles can be proven congruent, or select “not congruent”.
a)
SAS
b)
AAS
c)
HL
d)
Not congruent
20.
a)
59
b)
11
c)
35
d)
24
21.
Find m∠ABC
a)
45o
b)
60o
c)
105o
d)
15o
22.
Find m∠WXY
a)
105o
b)
30o
c)
75o
d)
140o
23.
What is the inverse of "If it is Saturday, then it is the weekend"?
a)
If it is the weekend, then it is Saturday.
b)
If it is not Saturday, then it is the weekend.
c)
If it is not the weekend, then it is not Saturday.
d)
If it is not Saturday, then it is not the weekend.
24.
What is the converse of "If it is Saturday, then it is the weekend"?
a)
If it is the weekend, then it is Saturday.
b)
If it is not Saturday, then it is the weekend.
c)
If it is not the weekend, then it is not Saturday.
d)
If it is not Saturday, then it is not the weekend.
25.
p→q
What is the inverse?
What is the inverse?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
26.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
27.
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
28.
If ∆HEY ≅ ∆OMG, which of the following is true?
a)
∠H≅∠G
b)
HE ≅ MG
c)
HY ≅ OG
d)
∠E ≅ ∠O
29.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
30.
Find x
a)
87
b)
180
c)
93
d)
25
31.
a)
Median
b)
Altitude
c)
Perpendicular Bisector
d)
Angle Bisector
32.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
33.
a)
11
b)
22
c)
5.5
d)
3.67
34.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
35.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
36.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
verticies
b)
sides
c)
center
d)
medsegment
37.
The circumcenter is always inside the triangle.
a)
true
b)
false
38.
Name the point of concurrency
a)
incenter
b)
circumcenter
c)
centroid
d)
orthocenter
39.
Name the point of concurrency
a)
centroid
b)
orthocenter
c)
incenter
d)
circumcenter
40.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
41.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
42.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
43.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
44.
a)
A
b)
B
c)
C
d)
D
45.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
46.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
47.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
48.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
49.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
neither
d)
Pokecenter
50.
Order the sides of the triangle from smallest to biggest.
a)
segments DE, EV, DV
b)
segments DV, EV, DE
c)
segments EV, DV, DE
d)
segments DV, DE, EV
51.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
52.
Find SV
a)
18
b)
36
c)
21
d)
9
53.
Find HG
a)
28
b)
14
c)
41
d)
7
54.
What does the word collinear mean?
a)
Lines on the same plane
b)
Two parallel lines
c)
Points on the same line
d)
Intersecting lines
55.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
56.
Convex or Concave?
a)
Convex
b)
Concave
57.
In logic expressions this symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
58.
In logic expressions this symbol, ∧, means?
a)
and
b)
or
c)
not
d)
implies
59.
What reasoning is being used?
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.
a)
Deductive
b)
Inductive
60.
Inductive Reasoning is...
a)
reasoning that uses guesses and ideas to arrive at a conclusion
b)
reasoning that uses random examples to arrive at a thesis
c)
reasoning that uses a number of specific examples to arrive at a conclusion
d)
reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements
61.
Deductive Reasoning is...
a)
reasoning that uses guesses and ideas to arrive at a conclusion
b)
reasoning that uses random examples to arrive at a thesis
c)
reasoning that uses a number of specific examples to arrive at a conclusion
d)
reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements
62.
Find the measure of ∠ACD.
a)
130
b)
115
c)
65
d)
50
63.
How are these angles related?
a)
Vertrical
b)
Complementary
c)
Adjacent
d)
Supplementary
64.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
65.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
AAS
c)
def. of angle bisector
d)
CPCTC
66.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
≅ Thrm
c)
ASA
≅ Thrm
≅ Thrm
d)
SAS
≅ Thrm
≅ Thrm
67.
What will the last "reason" of this proof be?
a)
Definition of Midpoint
b)
Definition of Angle Bisector
c)
CPCTC
d)
Reflexive
68.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
69.
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
You probably should learn this property!
70.
a)
Alternate Interior Angles
b)
Third Angle Theorem
c)
Vertical Angles
d)
They both have an "H"
71.
An angle bisector cuts an angle into two congruent _________
a)
Angles!
b)
Segments
c)
Mysteries
72.
A segment bisector cuts a segment into two congruent
a)
Segments!
b)
Angles
c)
Mysteries
73.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
74.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
75.
Name a line skew to FG
a)
EH
b)
DC
c)
AD
d)
FB
76.
Name a line parallel to FG
a)
EF
b)
DC
c)
AD
d)
FB
77.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
78.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
79.
a)
72
b)
67
c)
65
d)
54
80.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
81.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
82.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
83.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
84.
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
85.
Order the sides from least to greatest.
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
86.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
87.
What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
88.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
89.
In the diagram below, what must be the
measure of the angle marked x?
measure of the angle marked x?
a)
27°
b)
29°
c)
31°
d)
34°
90.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
91.
Angle Q and B are...
a)
Supplementary
b)
Congruent
92.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
93.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
94.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
95.
What is the relationship for ∠9 and ∠16?
a)
corresponding
b)
vertical
c)
alternate exterior
d)
alternate interior
96.
What is the relationship for ∠7 and ∠11?
a)
corresponding
b)
same-side interior
c)
alternate exterior
d)
alternate interior
97.
A line that passes through parallel lines is called a ______________.
a)
transitive property
b)
congruent line
c)
transversal
d)
bisector
98.
Determine if the lines are parallel, perpendicular or neither.
y = -3x - 7
y = -1/3x + 4
y = -3x - 7
y = -1/3x + 4
a)
Parallel
b)
Perpendicular
c)
Neither
99.
Find the length of DE
a)
10
b)
9
c)
8
d)
5
100.
Which of the following is a possible length for segment AC
a)
10
b)
15
c)
17
d)
9
101.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
102.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
103.
13. Given: △RST and RS = 14 in., ST = 10 in., TR = 16 in.
List the interior angles of △RST in order from smallest to largest.
List the interior angles of △RST in order from smallest to largest.
a)
R, S, T
b)
S, T, R
c)
R, T, S
d)
T, S, R
104.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
105.
Find the area
a)
41
b)
45
c)
44
d)
43
106.
What is the area?
a)
12 cm2
b)
14
c)
14 cm2
d)
24 cm2
107.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
108.
Find the area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
109.
What is the area of the shaded region? Round to the nearest hundredth.
a)
50.27
b)
3015.93
c)
8.38
d)
4.19
110.
What is the area of this circle?
a)
25π
b)
10π
c)
π
d)
5π
111.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
112.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
113.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
114.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
115.
Find the geometric mean between 4 and 9.
a)
6
b)
2√3
c)
3√2
d)
8
116.
Find the geometric mean between 2 and 25.
a)
5
b)
2√5
c)
2
d)
5√2
117.
Two angles who sum is 90 degrees
a)
right angle
b)
supplementary angle
c)
complementary angles
d)
linear pair
118.
Two angles who sum is 180 degrees
a)
Complementary angles
b)
Right angle
c)
Supplementary Angles
d)
Acute angles
119.
Name three collinear points.
a)
A, B, E
b)
E, B, D
c)
A, B, F
d)
C, B, D
120.
What is the measure of the following angle?
a)
10 degrees.
b)
40 degrees.
c)
67 degrees.
d)
168 degrees.
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