GEOMETRY
TEST CHAPTER 5A
NAME
PER
Draw and label a figure to illustrate each situation
(1)
RP is an altitude of  RST
(2)
AM is a median of  ABC
(3)
RX is an angle bisector of  RSW
(4)
CP is an altitude and median of  ACD
(5)
 DEF has vertices D(3, 2), E(5, 7), F(4, 1). Find the coordinates of
point G if GF is a median of  DEF.
5
6
7
Use the figure and the definitions to find the following:
(6)
Find AC if BD is a median of  ABC
(7)
Find BAC if AD is an angle bisector of
BAC
A
B
(18x  21)
(12x + 15)
A
4x + 9
D
2x + 17
C
B
C
D
State the additional information needed to prove each pair of triangles congruent by the given
theorem or postulate.
(8)
HL
(9)
I
P
LL
N
Q
8
R
H
J
K
9
O
M
10
(10)
LA
(11)
G
HA
11
H
T
K
I
J
S
L
U
V
12 x=
y=
13 x=
y=
For each figure find the value of x and y so that the  ‘s are congruent.
(12)
HA
(13)
B
14
LL
E
B
5y + 35
E
3x + 7
5x  11
A
3x + 7
A
16
8y + 5
5y  9
C D
12y  37
15
x + 21
D
F
F
C
17
Use the figure to complete each statement.
(14)
m2 _____ m5
3
(15)
m4 _____ m1
1
For each triangle list the angles in order from least to greatest:
(16) A
(17)
3.9 mm
B
4.2 mm
E
4.8 mm
D
4.0 mm
4.7 mm
4.2 mm
C
F
2
4
5
For each triangle list the sides in order from least to greatest:
(18)
B
(19)
58°
E
D
84°
90°
C
19
20
14°
32°
A
(20)
18
82°
F
List the sides of  ABC in order from longest to shortest if:
21
22
mA = 9x + 29, mB = 93 – 5x, mC = 10x + 2
23
24
(21)
List the angles of  EDF in order from largest to smallest if :
25
ED = 9x – 4, DF = 4x – 8, EF = 32 – 2x and the perimeter is 53.
Determine if it is possible to draw a triangle with the given sides:
(22)
10, 100, 100
(23)
301, 8, 310
Between what two numbers does the 3rd side of the triangle fall given the following two sides:
(24)
8, 13
(25)
7, 5