Final Exam Review

Final Exam Review
____
1. Are M, N, and O collinear? If so, name the line on which they lie.
O
N
M
A.
B.
C.
D.
____
Yes, they lie on the line NP.
Yes, they lie on the line MP.
Yes, they lie on the line MO.
No, the three points are not collinear.
2. Name the plane represented by the front of the box.
A. CAB
____
P
B. GBF
D. DBF
C.
D.
3. Name the ray in the figure.
A
A.
____
C. BJC
B
B.
4. What is the intersection of plane STXW and plane SVUT?
A.
B.
C.
D.
____
5. Name a fourth point in plane WXV.
A. X
____
B. Z
6. What is the length of
A
C. U
D. T
?
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. 13
____
B. 16
7. If
C. 15
, find the value of FG. The drawing is not to scale.
E
F
G
A. 17
B. 15
____
D. 3
C. 14
D. 6
8. If Z is the midpoint of
R
what are x, RZ, and RT?
Z
8 x - 10
T
150
A. x = 18, RZ = 134, and RT = 268
B. x = 22, RZ = 150, and RT = 300
C. x = 20, RZ = 150, and RT = 300
D. x = 20, RZ = 300, and RT = 150
____
9. Complete the statement.
?
A.
B.
C.
D.
____ 10. If
The diagram is not to scale.
A.
B.
, find the degree measure of
;
;
____ 11. If
A.
B.
, and
then what are
,
,
C.
D.
and
;
;
The diagram is not to scale.
C.
D.
,
,
____ 12. How are the two angles related?
60°
120°
Drawing not to scale
A. supplementary
B. adjacent
C. vertical
D. complementary
____ 13. The complement of an angle is 53°. What is the measure of the angle?
A. 37°
B. 137°
C. 47°
D. 127°
____ 14. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).
A. (4, 4)
B. (2, 2)
C. (8, 12)
D. (4, 6)
____ 15. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
A. 11
B. 7.8
C. 61
D. 14.9
____ 16. Find the perimeter of the rectangle. The drawing is not to scale.
29 ft
66 ft
A. 95 feet
B. 190 feet
C. 124 feet
D. 161 feet
____ 17. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
A. Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
B. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.
C. Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.
D. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
____ 18. Write this statement as a conditional in if-then form:
All triangles have three sides.
A. If a triangle has three sides, then all triangles have three sides.
B. If a figure has three sides, then it is not a triangle.
C. If a figure is a triangle, then all triangles have three sides.
D. If a figure is a triangle, then it has three sides.
____ 19. What is the converse of the following conditional?
If a point is in the fourth quadrant, then its coordinates are negative.
A. If a point is in the fourth quadrant, then its coordinates are negative.
B. If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
C. If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
D. If the coordinates of a point are negative, then the point is in the fourth quadrant.
Use the diagram to find the following.
h
a
1
2
8
b
3
7
4
6
5
____ 20. Identify a pair of alternate exterior angles.
A.
B.
C.
D.
____ 21. What are three pairs of corresponding angles?
A. angles 1 & 2, 3 & 8, and 4 & 7
C. angles 1 & 7, 2 & 4, and 6 & 7
B. angles 3 & 4, 7 & 8, and 1 & 6
D. angles 1 & 7, 8 & 6, and 2 & 4
____ 22. Which angles are corresponding angles?
A.
B.
C.
D. none of these
____ 23. Line r is parallel to line t. Find m 6. The diagram is not to scale.
r
7
138°
1
3
t
4
A. 32
2
5
6
B. 138
C. 142
D. 42
____ 24. The expressions in the figure below represent the measures of two angles. Find the value of x.
diagram is not to scale.
f
7x
2 x + 36
g
A. 15
C. –16
B. 17
D. 16
____ 25. Find the values of x, y, and z. The diagram is not to scale.
46°
13°
58°
x°
z°
y°
A.
B.
C.
D.
____ 26. Find the value of x. The diagram is not to scale.
72°
105°
A. 33
x°
B. 162
C. 147
D. 75
. The
____ 27. If BCDE is congruent to OPQR, then
A.
B.
is congruent to
C.
D.
____ 28.
A.
B.
C.
D.
____ 29. Find the missing values of the variables. The diagram is not to scale.
119°
106°
x°
y°
74°
A. x = 74, y = 103
B. x = 74, y = 93
C. x = 93, y = 74
D. x = 103, y = 119
____ 30. ABCD is a parallelogram. If
A
D
then
The diagram is not to scale.
B
C
A. 57
B. 114
C. 133
D. 123
____ 31. LMNO is a parallelogram. If NM = x + 5 and OL = 2x + 3, find the value of x and then find NM and OL.
O
N
L
A. x = 4, NM = 9, OL = 9
B. x = 2, NM = 7, OL = 7
M
C. x = 2, NM = 9, OL = 7
D. x = 4, NM = 7, OL = 9
____ 32. DEFG is a rectangle. DF = 5x – 3 and EG = x + 5. Find the value of x and the length of each diagonal.
A. x = 1, DF = 6, EG = 6
C. x = 2, DF = 6, EG = 6
B. x = 2, DF = 7, EG = 12
D. x = 2, DF = 7, EG = 7
____ 33. A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the
length of the car to the length of the model?
A. 10 : 7
B. 7 : 120
C. 120 : 7
D. 7 : 10
What is the solution of each proportion?
____ 34.
A. 32
B. 128
C. 8
D. 16
A.
B.
C.
D.
____ 35.
____ 36. Given the proportion
, what ratio completes the equivalent proportion
A.
C.
B.
D.
?
____ 37. The two rectangles are similar. Which is the correct proportion for corresponding sides?
4m
8m
12 m
24 m
A.
B.
C.
D.
Find the length of the missing side. The triangle is not drawn to scale.
____ 38.
17
15
A. 8
B. 64
C. 4
D. 23
Find the length of the missing side. Leave your answer in simplest radical form.
____ 39.
14 ft
10 ft
Not drawn to scale
A.
26 ft
B.
206 ft
C. 296 ft
D. 2 74 ft
____ 40. A triangle has side lengths of 12 cm, 35 cm, and 37 cm. Classify it as acute, obtuse, or right.
A. obtuse
B. right
C. acute

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