Geometry Honors: Chapter 5 Test
1. Find the circumcenter of
2), and G(6, 2). GRAPH!!
A. (4, 3)
B. (2, 4)
C. (3, 4)
D. (4, 2)
2. In
with E(2, 4), F(2,
centroid D is on median
.
and
Find AM.
3. 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
C
B
G
A
D
E
F
6. Points B, D, and F are midpoints of the sides of
EC = 43 and DF = 23. Find AC.
The diagram is not to scale.
A
4. A triangular side of the Transamerica Pyramid
Building in San Francisco, California, is 149 feet at
its base. If the distance from a base corner of the
building to its peak is 859 feet, how wide is the
triangle halfway to the top?
B
F
C
D
E
7. Name the median for
|
M
Q
)
|
P
)
O
5. In ACE, G is the centroid and BE = 18. Find BG
and GE.
R N
8. Find the length of the midsegment. The diagram is
not to scale.
E
41
37
n +4
F
5x + 2
41
37
)
3n – 4
)
2x + 52
D
G
9. Where is the circumcenter of any given triangle?
10. Use the information in the diagram to determine the
height of the tree. The diagram is not to scale.
13. Name the second largest of the four angles named
in the figure (not drawn to scale) if the side
included by
and
is 13 cm, the side included
by
and
is 9 cm, and the side included by
and
is 18 cm.
1
190 ft
2
3
4
11. List the sides in order from shortest to longest. The
diagram is not to scale.
J
14. Q is equidistant from the sides of
The diagram is not to scale.
35°
40°
Find
K
T
|
Q
(5
x
+
L
|
6)
°
105°
12.
bisects
to scale.
(7x – 12)°
Find FG. The diagram is not
S
15.
R
and
List the sides of
from shortest to longest.
in order
16. Find the length of
, given that
of the triangle and AC = 46.
is a median
(
D
X
(
50º
A
B
C
17. Q is equidistant from the sides of
value of x. The diagram is not to scale.
20. B is the midpoint of
D is the midpoint of
and AE = 9. Find BD. The diagram is not to scale.
Find the
C
B
D
|
|
|
T
Q
(4
8)°
26°
A
|
1
x+
E
R
S
21. Find the value of x. The diagram is not to scale.
18. What is the name of the segment inside the large
triangle?
47
x
47
34
20
22.
19. Use the information in the diagram to determine the
measure of the angle x formed by the line from the
point on the ground to the top of the building and
the side of the building. The diagram is not to scale.
20
bisects
Find the value of x. The
diagram is not to scale.
|
|
E
8x + 40
F
)
12x
)
31°
D
G
23. Find the value of x.
14
3x – 2
24. Two sides of a triangle have lengths 5 and 18. What
must be true about the length of the third side