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GEOMETRY CH. 1 TEST REVIEW
____
Multiple Choice
Identify the choice that best completes the statement or
answers the question.
____
____
5. Neil is adding a ribbon border to the edge of his
kite. Two sides of the kite measure 9.2 inches,
while the other two sides measure 18.8 inches.
How much ribbon does Neil need?
a. 56 in. b. 28 in. c. 37.2 in. d. 46.8 in.
6. Judging by appearance, name an acute angle, an
obtuse angle, and a right angle.
1. Find the midpoint of
B
y
10
E
A
C
5
–10
–5 P
5
10 x
D
____
a.
c.
b.
d.
7. Which plane is parallel to plane BDHF?
–5
–10
____
____
____
Q
a. (–1, –5) b. (0, –4) c. (–1, –4) d. (0, –5)
2. Dan wants to put a fence around his rectangular
garden. His garden measures 38 feet by 54 feet.
The garden has a path around it that is 3 feet
wide. How much fencing material does Dan
need to enclose the garden and path?
a. 104 ft b. 160 ft c. 196 ft d. 208 ft
3. Name the intersection of plane ACG and plane
BCG.
a.
c.
____
b.
d. The planes need not
intersect.
4. Find the area of the circle in terms of .
a. plane b. plane
ABFE
ACGE
8. If
and
is the measure of
scale.
c. plane
EGHF
d. plane
ACDB
, then what
The diagram is not to
36 in.
a. 324
in.2
b. 36
in.2
c. 72
in.2
d. 1296
in.2
____
a. 76
b. 68
c. 60
9. Name the ray in the figure.
d. 8
M
____ 13. The figure is formed from rectangles. Find the
total area. The diagram is not to scale.
N
a.
b.
c.
d.
____ 10. What can you conclude from the information in
the diagram?
2 ft
10 ft
2 ft
L
12 ft
a. 104
b. 44
c. 148
d. 120
____ 14. In the figure shown,
. Which of
the following statements is false?
Q
O
M
N
P
a. 1.
2.
is a right angle
3.
are adjacent angles
b. 1.
2.
is a right angle
3.
are vertical angles
c. 1.
2.
3.
are adjacent angles
d. 1.
2.
3.
are vertical angles
____ 11. Find the circumference of the circle to the
nearest tenth.Use 3.14 for .
Not drawn to scale
a. DEC and AEB are vertical angles.
b. BEC and DEC are vertical angles.
c.
d.
____ 15. If
and
then what is
the measure of
The diagram is not to
scale.
11 m
a. 20
b. 48
c. 40
d. 68
____ 16. Name the line and plane shown in the diagram.
a. 138.2 m b. 379.9 m c. 34.5 m d. 69.1 m
____ 12. Which point is the midpoint of
A
B
–8 –7 –6 –5 –4 –3 –2 –1
a. B
b. C
C
0
O
?
D
1
2
3
P
E
4
5
6
c. not B, C, d. D
or D
7
8
M
N
a.
and plane PM
c.
and plane
.
.
____ 21. Find the perimeter of the rectangle. The drawing
is not to scale.
MNP
b. line M and plane
d.
and plane PO
MNP
____ 17. Supplementary angles are two angles whose
measures have sum ____.
50 ft
Complementary angles are two angles whose
measures have sum ____.
a. 90; 45 b. 90; 180 c. 180; 90 d. 180;
72 ft
360
a. 244 feet b. 172 feet c. 194 feet d. 122 feet
____ 18. Name the plane represented by the top of the
____ 22. Find the perimeter of
with vertices A(–6,
box.
–8), B(0, –8), and C(–6, 0).
y
10
5
a. FCG
b. HCD
c. BCD
d. CGH
____ 19. Name a fourth point in plane TUW.
C
–10
–5
5
10 x
–5
A
–10 B
a. X
b. Z
c. W
d. Y
a. 14 units b. 28 units c. 24 units d. 114
____ 20. Write an expression that gives the area of the
units
shaded region in the figure below. You do not
have to evaluate the expression. The diagram is ____ 23. Name the ray that is opposite
not to scale.
D
C
2 ft
10 ft
B
A
3 ft
a.
11 ft
a
.
b
c
.
d
b.
c.
d.
____ 24. Noam walks home from school by walking 8
blocks north and then 6 blocks east. How much
shorter would his walk be if there were a direct
path from the school to his house? Assume that
the blocks are square.
a. 4 blocks
c. 10 blocks
b. 14 blocks
d. The distance would
be the same.
____ 25. How many pairs of intersecting lines are shown?
a.
,
b.
,
c.
,
d.
,
____ 31. Are points C, J, and B collinear or noncollinear?
b. 16
c. 8
d. 4
are supplementary angles.
, and
. Find the
measure of each angle.
a.
c.
b
d
a. collinear b. noncollinear c. impossible
.
.
to tell
____ 27. Find the coordinates of the midpoint of the
segment whose endpoints are H(2, 14) and K(10, ____ 32. Find the circumference of the circle in terms of
.
10).
a. (12, 24) b. (8, 4) c. (4, 2) d. (6, 12)
____ 28. Which angle is an acute angle?
a
c
35 in.
.
.
____ 26.
a. 24
and
b
.
d
.
____ 29. What is the intersection of plane STUV and
plane UYXT?
a. 70 in. b. 35 in. c. 1225
d. 140 in.
in.
____ 33. Each unit on the map represents 5 miles. What is
the actual distance from Oceanfront to Seaside?
y
8
6
Seaside
4
2
–8 –6 –4 –2
–2
Landview
–4
a.
____ 30. If
b.
c.
–6
d.
then what are
The diagram is not to scale.
and
–8
2
4
6
8
Oceanfront
x
a. 50 miles
c. 10 miles
b. about 40 miles
d. about 8 miles
____ 34. Which diagram shows plane PQR and plane
QRS intersecting only in
a
c
.
.
?
____ 39. Vivian has 78 feet of fencing to make a
rectangular vegetable garden. Which dimensions
will give Vivian the garden with greatest area?
The diagrams are not to scale.
a
c
20 ft
21 ft
.
.
18 ft
19 ft
b
.
b
.
d
.
22 ft
17 ft
d
.
23 ft
16 ft
____ 40. Are W, V, and U collinear? If so, name the line
on which they lie.
W
V
____ 35. If
and
a. 18, 72
are supplementary angles and
, find
and
b. 72, 18 c. 144, 36 d. 36, 144
____ 36. M is the midpoint of
for the points C(5, 5)
and F(9, 9). Find MF.
a. 2 2
b. 8
c. 4 2
d. 16
____ 37. If
find the values of x, EF, and FG. The drawing is
____ 41.
not to scale.
E
F
G
a. x = 1, EF = –12, FG c. x = 1, EF = 8, FG =
= –10
20
b. x = 11, EF = 36, FG d. x = 11, EF = 8, FG
= 46
= 20
____ 38. Two angles whose sides are opposite rays are
called ____ angles. Two coplanar angles with a
common side, a common vertex, and no
common interior points are called ____ angles.
a. adjacent; complementary
b. vertical; supplementary
c. vertical; adjacent
d. adjacent; vertical
X
U
a. No, the three points are not collinear.
b. Yes, they lie on the line UX.
c. Yes, they lie on the line UW.
d. Yes, they lie on the line VX.
Name the three labeled segments that are
parallel to
a.
,
,
b.
,
,
c.
,
,
d.
,
,
,
a. No
b. Any
c. Sometimes
____ 42. M(9, 9) is the midpoint of
The coordinates
of S are (10, 10). What are the coordinates of R? ____ 49. If the perimeter of a square is 72 inches, what is
its area?
a. (9.5,
b. (18, 18) c. (11, 11) d. (8, 8)
a. 5,184
b. 72
c. 18
d. 324
9.5)
____ 43. Name the four labeled segments that are skew to
____ 50. A high school soccer team is going to Columbus
to see a professional soccer game. A coordinate
grid is superimposed on a highway map of Ohio.
The high school is at point (3, 4) and the stadium
in Columbus is at point (7, 1). The map shows a
highway rest stop halfway between the cities.
What are the coordinates of the rest stop? What
is the approximate distance between the high
school and the stadium? (One unit 9.3 miles.)
a.
c.
, 46.5 miles
, 5 miles
b.
a.
b.
,
,
,
,
,
,
c.
d.
,
,
,
,
,
,
, 23.25 miles
d.
, 232.5 miles
____ 51. The Frostburg-Truth bus travels from Frostburg
Mall through the City Center to Sojourner Truth
____ 44. If T is the midpoint of
find the values of x
Park. The mall is 2 miles west and 4 miles south
and ST. The diagram is not to scale.
of the City Center. Truth Park is 3 miles east and
S
T
U
4 miles north of the Center. How far is it from
Truth Park to the Mall to the nearest tenth of a
5x
3x + 26
mile?
a. 1 miles b. 5 miles c. 9.4
d. 4.5
a. x = 18, ST = 84
c. x = 18, ST = 65
miles
miles
b. x = 13, ST = 65
d. x = 13, ST = 84
____ 45. Find, to the nearest tenth, the area of the region ____ 52. How are the two angles related?
that is inside the square and outside the circle.
The circle has diameter 10 inches.
77°
103°
Drawing not to scale
a. 5.4
b. 100
c. 78.5
d. 21.5
____ 46. Find the distance between points P(3, 4) and
Q(4, 1) to the nearest tenth.
a. 8.6
b. 10
c. 3.2
d. 4
____ 47. Plane ABC and plane BCE ____ be the same
plane.
a. may
b. must
c. cannot
____ 48. ____ two points are collinear.
a. vertical
c. complementary
b. supplementary
d. adjacent
____ 53.
and
are complementary angles.
m
=
, and m
=
. Find the
measure of each angle.
a.
= 51,
c.
= 48,
= 49
= 52
b.
= 48,
d.
= 51,
= 42
= 39
____ 54. Find BD.
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. 9
b. 11
c. 3
d. 10
____ 55.
and
____ be coplanar.
a. may
b. cannot
c. must
____ 56. Name an angle supplementary to
a.
b.
c.
d.
____ 57. The complement of an angle is 43°. What is the
measure of the angle?
a. 57°
b. 47°
c. 137°
d. 147°
____ 58. Find the area of a rectangle with base 6 yd and
height 5 ft.
a. 90 ft
b. 30 yd
c. 30 ft
d. 90 yd
GEOMETRY CH. 1 TEST REVIEW
Answer Section
MULTIPLE CHOICE
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