Download Fall Semester Exam review

Fall semester exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
1. Name an angle supplementary to
a.
b.
c.
2. Which two statements contradict each other?
I. Jon, Elizabeth, and Franco read 27 books among them for a class.
II. Franco read 6 books.
III. None of the three students read more than 7 books.
a. II and III
b. I and II
c. I and III
d. No two of the statements contradict each other.
3. What is the missing reason in the two-column proof?
Given:
Prove:
bisects
and
bisects
R
<
Q
S
>
T
Statements
Reasons
1.
2.
3.
bisects
1. Given
2. Definition of angle bisector
3. Reflexive property
4.
bisects
4. Given
d.
5. Definition of angle bisector
6. ?
5.
6.
a. AAS Theorem
b. SSS Postulate
c. ASA Postulate
d. SAS Postulate
Write an equation for the line that is parallel to the given line and that passes through the given point.
____
4. y = –5x + 3; (–6, 3)
a. y = –5x + 27
b. y = 5x – 9
c. y = –5x – 27
d. y = –5x + 9
Find the value of x. Round your answer to the nearest tenth.
____
5.

x
9
Not drawn to scale
a. 7.8
____
b. 15.6
c. 5.2
. Complete the statements.
6.
d. 4.5
A
G
E
B
F
H
D
J
C
a.
GH
b.

AB
DJ
____
a.
7. If
b. E; AE
; AE
E
F
a. x = 4, EF = 10, FG = 18
c.
d. E; DC
; DC
find the values of x, EF, and FG. The drawing is not to scale.
G
c. x = 12, EF = 10, FG = 18
____
b. x = 4, EF = –6, FG = –6
8. Q is equidistant from the sides of
d. x = 12, EF = 38, FG = 54
Find the value of x. The diagram is not to scale.
T
|
|
|
Q
|
)°
–6
x
(4
22°
R
S
____
a. 11
b. 7
c. 22
d. 4
9. Write the contrapositive of the conditional statement illustrated by this Venn diagram.
Dogs
Poodles
a. If an animal is not a poodle, then it is a dog.
b. If an animal is not a poodle, then it is not a dog.
c. If an animal is not a dog, then it is a poodle.
d. If an animal is not a dog, then it is not a poodle.
____ 10. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
a.
c.
b.
d.
____ 11. Line r is parallel to line t. Find m 5. The diagram is not to scale.
r
7
132°
1
t
3
4
2
5
6
a. 48
b. 132
c. 38
d. 148
____ 12. The vertices of a triangle are P(–2, 1), Q(6, –3), and R(2, 3). Name the vertices of the image reflected in the xaxis.
a.
c.
b.
d.
____ 13. Name the angle included by the sides
N
and
M
P
a.
b.
c.
d. none of these
____ 14. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct
congruence statement?
A
|
|
B
C
D
a.
b.
c.
d.
Yes;
.
Yes;
.
Yes;
.
No, the triangles cannot be proven congruent.
1
3
____ 15. The length of a rectangle is 6 inches and the width is 2 inches. What is the ratio, using whole numbers, of
2
4
the length to the width?
a. 26 : 22
b. 11 : 26
c. 26 : 11
d. 13 : 11
____ 16. What is the conclusion of the following conditional?
A number is divisible by 9 if the sum of the digits of the number is divisble by 9.
a. The number is divisible by 9.
b. If the sum of the digits of a number is divisble by 9, then the number is divisible by 9.
c. The number is odd.
d. The sum of the digits of the number is divisble by 9.
____ 17. Find the value of x. The diagram is not to scale.
34
x
34
30
27
a. 54
27
b. 60
c. 30
d. 68
Find the length of the missing side. The triangle is not drawn to scale.
____ 18.
7
24
a. 62
____ 19. Name a median for
b. 168
c. 25
d. 625
b.
c.
d.
|
C
G
)
|
F
)
E
H D
a.
____ 20. For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes.
a. incenter
b. circumcenter
c. incenter
d.
circumcenter
incenter
circumcenter
orthocenter
orthocenter
centroid
centroid
centroid
orthocenter
____ 21. List the sides in order from shortest to longest. The diagram is not to scale.
circumcenter
incenter
centroid
orthocenter
J
36°
48°
K
96°
L
a.
b.
____ 22. ____ two points are collinear.
a. No
b. Any
____ 23. Which angles are corresponding angles?
c.
d.
c. Sometimes
a.
c.
b.
d. none of these
____ 24. An airplane over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal
distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?

x
4629 m
Not drawn to scale
a. 4647 m
b. 403 m
____ 25. Name the ray in the figure.
P
c. 405 m
d. 4611 m
c.
d.
Q
a.
b.
Solve the proportion.
____ 26.
a. 18
b.
1
18
c.
1
2
d. 6
Find the value of x. Round to the nearest tenth.
____ 27.
x

16
Not drawn to scale
a. 14.6
b. 14.7
____ 28. Find the length of the hypotenuse.
c. 17.8
d. 17.5
45°
3 2
a. 18
b. 5
c. 12
d. 6
____ 29. Classify ABC by its angles, when m A = 40, m B = 90, and m C = 50.
a. obtuse
b. right
c. acute
d. straight
____ 30. Find the degree of rotation about the spinner center that maps label f to label A.
a. 216°
b. 144°
c. 180°
____ 31. Construct the line perpendicular to
Q
S
d. 180°
at point F.
R
a.
c.
D
F
E
b.
D
F
E
D
F
E
d.
D
F
E
____ 32. Supply the missing reasons to complete the proof.
Given:
and
Prove:
N
P
O
M
Q
a. AAS; CPCTC
c. SAS; CPCTC
b. ASA; CPCTC
d. ASA; Substitution
____ 33. The folding chair has different settings that change the angles formed by its parts. Suppose
is 72. Find
. The diagram is not to scale.
is 32 and
1
2
3
a. 104
b. 94
c. 124
d. 114
____ 34. When a conditional and its converse are true, you can combine them as a true ____.
a. hypothesis
c. counterexample
b. unconditional
d. biconditional
____ 35.
. Find the value of x for p to be parallel to q. The diagram is not to scale.
3 4
5
p
a. 128
1 2
6
q
b. 126
c. 63
d. 124
____ 36. Find AD.
A
B
C
D
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
a. 1
b. 6
c. 13
d. 11
c. 96
d. 13
____ 37. Find the value of x.
(8x – 8)°
(7x + 5)°
Drawing not to scale
a. –13
b. 84
Find the value of x. Round to the nearest degree.
____ 38.
12
x
6
Not drawn to scale
a. 60
b. 27
c. 30
____ 39. Describe in words the translation represented by the vector
a.
b.
c.
d.
5 units to the left and 8 units up
5 units to the right and 8 units down
8 units to the left and 5 units up
5 units to the right and 8 units up
Find the slope of the line.
d. 56
.
y
____ 40.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.

b.
1
2
c. 2
1
2
d.
2
____ 41. M(7, 5) is the midpoint of
The coordinates of S are (9, 8). What are the coordinates of R?
a. (5, 2)
b. (8, 6.5)
c. (14, 10)
d. (11, 11)
____ 42. If
and
, then what is the measure of
The diagram is not to scale.
a. 56
b. 4
c. 64
Write the slope-intercept form of the equation for the line.
____ 43.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
y=
1
x1
2
c. y = 2 x  1
d. 60
b.
y=
d. y = 2 x  1
1
x1
2
____ 44. Which is the graph of
a.
?
c.
y
8
6
6
4
4
2
2
–8 –6 –4 –2 O
–2
2
4
6
8
–4
–6
–6
–8
–8
d.
y
8
6
6
4
4
2
2
so that
2
4
6
8
x
2
4
6
8
x
2
4
6
8
x
y
8
–8 –6 –4 –2 O
–2
45. Construct
–8 –6 –4 –2 O
–2
x
–4
b.
Short Answer
y
8
–8 –6 –4 –2 O
–2
–4
–4
–6
–6
–8
–8
Fall semester exam Review
Answer Section
MULTIPLE CHOICE
1.
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34.
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40.
41.
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D
C
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B
D
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B
A
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C
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D
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B
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1-6.2 Identifying Angle Pairs
5-4.2 Using Indirect Reasoning
4-3.1 Using the ASA Postulate and the AAS Theorem
6-6.1 Parallel Lines
8-3.1 Using Tangents in Triangles
7-2.1 Similar Polygons
1-5.1 Finding Segment Lengths
5-2.1 Perpendicular Bisectors and Angle Bisectors
5-4.1 Writing the Negation, Inverse, and Contrapositive
4-3.1 Using the ASA Postulate and the AAS Theorem
3-1.2 Properties of Parallel Lines
9-2.1 Finding reflection images
4-2.1 Using the SSS and SAS Postulates
4-6.1 The Hypotenuse-Leg Theorem
7-1.1 Using Ratios and Proportions
2-1.1 Conditional Statements
5-1.1 Using Properties of Midsegments
8-1.1 The Pythagorean Theorem
5-3.2 Medians and Altitudes
5-3.2 Medians and Altitudes
5-5.2 Inequalities Involving Sides of Triangles
1-3.1 Basic Terms of Geometry
3-1.1 Identifying Angles
8-5.1 Using Angles of Elevation and Depression
1-4.1 Identifying Segments and Rays
7-1.1 Using Ratios and Proportions
8-4.1 Using Sine and Cosine in Triangles
8-2.1 45°-45°-90° Triangles
3-4.1 Finding Angle Measures in Triangles
9-3.1 Drawing and identifying rotation images
3-8.2 Constructing Perpendicular Lines
4-4.1 Proving Parts of Triangles Congruent
3-4.2 Using Exterior Angles of Triangles
2-2.1 Writing Biconditionals
3-3.1 Relating Parallel and Perpendicular Lines
1-5.1 Finding Segment Lengths
2-5.1 Theorems About Angles
8-4.1 Using Sine and Cosine in Triangles
9-1.2 Translations using vectors
6-1.2 Finding Slope
1-8.2 Finding the Midpoint of a Segment
42. ANS: D
43. ANS: D
44. ANS: D
OBJ: 1-6.1 Finding Angle Measures
OBJ: 6-2.1 Writing Linear Equations
OBJ: 5-3.1 Using Vertex Form
SHORT ANSWER
45. ANS:
OBJ: 1-7.1 Constructing Segments and Angles