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 𝑚∠𝐹𝐷𝐺 = 37°, 𝐹𝐺 = 4, and 𝐸𝐹 = 4, find 𝑚∠𝐹𝐷𝐸.
___________
A
4. F is the incenter of Δ𝐴𝐶𝐸. If GC = 5 and DG = 4, find DC.
F
E
B
G
(Hint 𝑎2 + 𝑏 2 = 𝑐 2 ) ____________________
D
C
C
A
A
5. G is the centroid of ∆ACE. If EB = 15, what is EG?
B
F
A
_______________
G
A
C
D
C120°
𝑎2 +
V
X
𝑏2 =
6. Name the longest side of ∆XYZ. __________________
40°
20°
Z
C
𝑐2
V
)
E
V
(H
7. Which angle in ∆DEF has the greatest measure?
6 int
3
__________________
𝑎2 +
D
F
𝑏2 = 8
𝑐2
)
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 𝑎 < 12?
9
____________
4
11. What is the relationship between the measures of ∠1 and ∠2?
______________
1
2
4
12