Geometry B Chapter 5 Test Review
Name __________________________ Hr ____
1. Use the figure to name and write the definition for each:
Angle bisector: _________
W
def_________________________________________________
Median: _______________
V
def_________________________________________________
Perpendicular bisector: __________________
def_________________________________________________
R
S T
U
Altitude: ________________
2. Write the definition for each of the following:
Centroid _________________________________________________________________________
Circumcenter _____________________________________________________________________
Concurrent lines ___________________________________________________________________
Incenter _________________________________________________________________________
Indirect proof _____________________________________________________________________
Indirect reasoning _________________________________________________________________
Orthocenter ______________________________________________________________________
Point of currency __________________________________________________________________
Proof by contradiction ______________________________________________________________
E
F
D
A
G
3. If the measure of π∠πΉπ·πΊ = 37°, πΉπΊ = 4, and πΈπΉ = 4, find π∠πΉπ·πΈ.
___________
A
4. F is the incenter of Δπ΄πΆπΈ. If GC = 5 and DG = 4, find DC.
F
E
B
G
(Hint π2 + π 2 = π 2 ) ____________________
D
C
C
A
A
5. G is the centroid of βACE. If EB = 15, what is EG?
B
F
A
_______________
G
A
C
D
C120°
π2 +
V
X
π2 =
6. Name the longest side of βXYZ. __________________
40°
20°
Z
C
π2
V
)
E
V
(H
7. Which angle in βDEF has the greatest measure?
6 int
3
__________________
π2 +
D
F
π2 = 8
π2
)
E
Y
Determine whether the given measures can be the lengths of the sides of a triangle (yes or no).
8a. 4,7,10 ______
8b. 3,5,8 _______
8c. 5,6,12 ______
9. Find the range of measure for the third side of a triangle given the measures of the other two sides
are 9 in. and 15 in.
10. What assumption would you have to make to start using indirect reasoning with π < 12?
9
____________
4
11. What is the relationship between the measures of ∠1 and ∠2?
______________
1
2
4
12
0
