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Name ________________________________________ Date ___________________
Geometry A Unit 4 Day 4 HW
Part I: Classify each triangle using two of the following. Use one word that describes the
angles of the triangle and one that describes its sides.
ACUTE EQUIANGULAR EQUILATERAL ISOSCELES OBTUSE RIGHT SCALENE
1.
2.
19
21
Sides ________________________
Sides _________________________
Angles _______________________
Angles ________________________
3.
4.
60
45
43
Sides ________________________
Sides _________________________
Angles _______________________
Angles ________________________
Part II: Find the missing angle measures or solve for the variables.
3
5.
2
6.
5
42
60
38
4
1
 1 = _______
 2 = ___________
 3 = ___________
 4 = _________
 5 = ___________
R
a  24
7.
8.
110  4c
2a
22c
9a
3c  2
a = ___________  R = ____________
c = ______________
9. Use the diagram below to complete the statements involving congruence.
(Each answer should be a letter, angle or segment name.)
E
H
G
C
F
D
a.  CDE   ___ ___ ___
b.  EDC   ___ ___ ___
c. ED  ______
d.  G = __________
10. Find the missing side or angle measures or solve for the indicated variable.
(Answers will be numbers and could be decimals.)
P
 JLK   PMN
L
22
J
38
26
K
N
18
78
M
LJ = ___________
 P = __________
 LKJ = _________
X
11.  QRS   TUV
R
12.  WXY   ZXY
V
18
26
Q
S
24
9d  T
120  8 g 
4g  12
U
d = ____________
g = ____________
W
 R = ____________
 WXY = ________
VT = _________
 WYX = __________
Y
Part III. Determine if enough information is given to prove that the triangles are
congruent. (Do so by marking parts that you know match FOR A GOOD REASON)
If the triangles are congruent, state the reason (SSS, SAS, ASA, AAS or HL) and then
complete the congruence statement. If they are not, give a pair of parts that would be
enough to prove the triangles are congruent.
13.
14.  LMP is isosceles with legs LM & PM
M
T
B
Z
A
C
Y
L
YES
Reason: SSS
YES
SAS
AAS
ASA
HL
Reason: SSS SAS
N
P
AAS ASA
 ABC   ___ ___ ___
 LMN   ___ ___ ___
or
or
NO we need _______  ________
NO we need _______  ________
HL
Z
15.
16.
Q
Z is the midpoint of XA
X
R
Y
Z
V
C
S
T
A
YES
YES
Reason: SSS
SAS
AAS
ASA
HL
Reason: SSS SAS
AAS ASA
 QRS   ___ ___ ___
 XYZ   ___ ___ ___
or
or
NO we need _______  ________
NO we need _______  ________
17.
AB bisects  CAH
HL
18. MN | | TV
M
A
N
H
L
C
B
YES
Reason: SSS
V
T
YES
SAS
AAS
ASA
HL
Reason: SSS SAS
AAS ASA
 ABC   ___ ___ ___
 LMN   ___ ___ ___
or
or
NO we need _______  ________
NO we need _______  ________
HL