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WorksheetsGeometry ACP Review 1
Total questions: 65
Worksheet time: 3hrs 54mins
Name
Class
Date
1.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
2.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
3.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior
4.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
5.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
6.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
7.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
8.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Correpsonding
d)
Vertical Angles
9.
Name the angle relationship.
a)
Alternate Exteriors
b)
Alternate Interiors
c)
Corresponding
d)
Same Side Interior
10.
What is the value of x?
a)
29
b)
119
c)
61
d)
58
11.
This symbol, ∧, means?
a)
and
b)
or
c)
not
d)
implies
12.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
13.
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.
14.
In the figure below, ray was constructed starting from rays and . By using a compass, Dand G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF
a)
are equal
b)
are NOT equal
c)
sum to 45°
d)
sum to 30°
15.
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.
16.
Lines in the same plane that do not intersect.
a)
plane
b)
parallel lines
c)
line
d)
perpendicular lines
17.
Perfectly flat surface that extends forever in all directions.
a)
plane
b)
line
c)
square
d)
point
18.
Planar figures or solid shapes that have the same shape and size.
a)
point
b)
congruent
c)
construct
d)
angle
19.
Name the construction.
a)
midpoint
b)
perpendicular through a point on the line
c)
perpendicular through a point NOT on the line
d)
copy of a line
20.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
21.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
22.
Two angles that add up to 180 degrees are called _____________ ______.
a)
right angles
b)
corresponding angles
c)
complementary angles
d)
supplementary angles
23.
Two angles that add up to 90 degrees are called _____________ ______.
a)
supplementary angles
b)
complementary angles
c)
corresponding angles
d)
right angles
24.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
25.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
26.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
27.
Find the missing angle.
a)
29°
b)
39°
c)
49°
d)
59°
28.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
29.
Find the missing angle. Find x
a)
20o
b)
70o
c)
160o
d)
180o
30.
Does a triangle with these side lengths exist?
33, 16, 17
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
31.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
32.
Does a triangle with these side lengths exist?
20, 10, 9
20, 10, 9
a)
Yes
b)
No
c)
I don't know.
33.
Does a triangle with these side lengths exist?
28, 41, 13
28, 41, 13
a)
Yes
b)
No
c)
I don't know.
34.
Does a triangle with these side lengths exist?
5, 10, 15
5, 10, 15
a)
Yes
b)
No
c)
I don't know.
35.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
36.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
37.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
38.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
39.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
40.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
41.
What is this?
a)
Conditional
b)
Inverse
c)
Converse
d)
Contrapositive
42.
What does this mean?
a)
Conditional
b)
Converse
c)
Inverse
d)
Contrapositive
43.
What does this mean?
a)
Conditional
b)
Inverse
c)
Converse
d)
Contrapositive
44.
What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."
a)
If it is 6pm, then it is time for dinner.
b)
If it is time for dinner, then it is 6pm.
c)
If you want to eat dinner, then you must eat at 6pm.
d)
None of these are right
45.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
46.
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
47.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
48.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
49.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
50.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
51.
If ΔDEF ≅ ΔRST, then we can conclude that ∠S ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
DE
52.
Statement: Through two give points there is...
Euclidean: One and only one line.
Spherical: ??
Euclidean: One and only one line.
Spherical: ??
a)
Two lines
b)
A circle
c)
A great circle
d)
Perpendicular lines
53.
Statement: The sum of the measure of angles of a triangle is...
Euclidean: 180⁰
Spherical: ??
Euclidean: 180⁰
Spherical: ??
a)
180⁰
b)
Between 180⁰ and 540⁰
c)
Less than 180⁰
d)
Greater than 540⁰
54.
In spherical geometry, a line can intersect another line in 2 points.
a)
True
b)
False
55.
Solve for x.
a)
9
b)
-5
c)
-4
d)
2
56.
Solve for x.
a)
10
b)
2
c)
-8
d)
11
57.
a)
59
b)
11
c)
35
d)
24
58.
AB is congruent to BC. Solve for X. How long is AB? How long is BC?
a)
X=25
AB=58
BC=42
AB=58
BC=42
b)
X=20
AB=50
BC=42
AB=50
BC=42
c)
X=18
AB=54
BC=45
AB=54
BC=45
d)
X=16
AB=40
BC=35
AB=40
BC=35
59.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
60.
Solve
a)
25°
b)
125°
c)
145°
d)
45°
61.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
62.
What is the measure of the following angle?
a)
120 degrees.
b)
171 degrees.
c)
60 degres.
d)
10 degrees.
63.
What is the measure of the following angle?
a)
21 degrees.
b)
34 degrees.
c)
70 degrees.
d)
172 degrees.
64.
Given ray EF is the angle bisector of <TEA. Which is FALSE?
a)
m<TEF = 87
b)
m<TEA = 87
c)
m<FEA = 43.5
d)
m<TEF = m<FEA
65.
Solve
a)
134°
b)
78°
c)
180°
d)
178°
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