Download Chapter 5 Practice Test

Geometry Chapter 5 TEST
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1 Name a median for
A
E
n +7
|
F
D
E
)
|
2n – 5
)
)
C
)
F B
D
a
b
a
d
2 Find the length of
, given that
median of the triangle and AC = 34.
is a
D
A
a
b
c
d
3
38
19
c
24
d
20
4 Find the center of the circle that you can
circumscribe about
with E(2, 6), F(2, 2),
and G(4, 2).
a
(3, 4)
b
(2, 5)
c
(5, 2)
d
(4, 3)
5 Where can the perpendicular bisectors of the
sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a
I only
b
II only
c
I or II only
d
I, II, or II
6 Which diagram shows a point P an equal distance
from points A, B, and C?
b
c
B
C
17
34
68
not enough information
bisects
not to scale.
Find FG. The diagram is
G
a
b
65
73
6x + 3
73
65
c
4x + 78
a
37.5
33
c
114
d
57
9 Q is equidistant from the sides of
The diagram is not to scale.
b
d
Find
T
|
(5
x
7 Find the value of x.
|
+
4)
°
Q
(9x – 12)°
S
a
b
14
c
d
2x – 9
R
48
8
4
24
10
and
List the sides of
from shortest to longest.
in order
a
b
a
11.5
b
7
c
10
d
8
8 Find the length of the midsegment. The diagram
is not to scale.
c
d
11 In ACE, G is the centroid and BE = 18. Find BG
and GE.
C
C
5
B
G
6
D
7
A
A
F
B
E
a
b
c
a
BG = 9, GE = 9
1
1
BG = 4 , GE = 13
2
2
b
c
d
d
12 Use the information in the diagram to determine
the height of the tree. The diagram is not to scale.
Two angles are the same size and smaller
than the third.
16 List the sides in order from shortest to longest.
The diagram is not to scale.
J
57°
130 ft
91°
K
a
65 ft
32.5 ft
c
30.5 ft
d
130 ft
13 Where is the center of the largest circle that you
could draw inside a given triangle?
a
the point of concurrency of the altitudes of
the triangle
b
the point of concurrency of the perpendicular
bisectors of the sides of the triangle
c
the point of concurrency of the bisectors of
the angles of the triangle
d
the point of concurrency of the medians of
the triangle
14 Three security cameras were mounted at the
corners of a triangular parking lot. Camera 1 was
146 ft from camera 2, which was 101 ft from
Camera 3. Cameras 1 and 3 were 130 ft apart.
Which camera had to cover the greatest angle?
a
camera 1
b
camera 2
c
camera 3
d
cannot tell
15 Name the smallest angle of
The diagram
is not to scale.
b
32°
L
a
b
c
d
17 B is the midpoint of
D is the midpoint of
and AE = 17. Find BD. The diagram is not to
scale.
22 What is the name of the segment inside the large
triangle?
C
B
A
D
E
a
a
b
c
d
18 In
a
median
midsegment
c
perpendicular bisector
d
angle bisector
23 Two sides of a triangle have lengths 7 and 15.
Which expression describes the length of the
third side?
a
greater than 8 and less than 22
b
greater than 8 and at most 22
c
at least 8 and less than 22
d
at least 8 and at most 22
24 Two sides of a triangle have lengths 6 and 16.
Which inequalities represent the possible lengths
for the third side, x?
b
7.5
8.5
34
17
centroid D is on median
.
and
Find AM.
10
3
b
7
c
14
d
15
19 Where can the lines containing the altitudes of an
obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a
I only
b
I or II only
c
III only
d
I, II, or II
20 Which three lengths could be the lengths of the
sides of a triangle?
a
6 cm, 24 cm, 11 cm
b
21 cm, 5 cm, 9 cm
c
13 cm, 7 cm, 20 cm
d
10 cm, 14 cm, 23 cm
21 Where can the bisectors of the angles of an
obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a
I only
b
III only
c
I or III only
d
I, II, or II
a
b
c
d
25 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
circumcenter
centroid
orthocenter
b
circumcenter
incenter
centroid
orthocenter
c
circumcenter
incenter
orthocenter
centroid
d
incenter
circumcenter
orthocenter
centroid
26 Find the center of the circle that you can
circumscribe about the triangle.
y
5
(–3, 2)
–5
(–3, –1)
(0, –1)
–5
a
b
c
d
3
( , –1)
2
1
(–3, )
2
3 1
( , )
2 2
1 3
( , )
2 2
5
x
Geometry Chapter 5 TEST
Answer Section
MULTIPLE CHOICE
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
C
A
B
A
B
A
D
D
A
C
D
A
C
C
B
C
B
C
C
D
A
D
A
B
B
C