M217 Chapter 4 Name: ________________________
Quiz 2 Review 1: SSS, SAS, AAS, ASA, and HL congruence
Write a congruence statement for the congruent triangles in each diagram. State the reason for congruence.
1) 2) E G 3) H B
A
F
D B
C T O
I H
____ ____ by ________
____ ____ by ________ ____ ____ by ________
4) 5) 6)
Q R X Y B C
P
T S
W
A Z
E D
____ ____ by ________ ____ ____ by ________ ____ ____ by ________
7) F 8) 9)
W
P A
A I
Y H R
G
C T K S
K
____ ____ by ________ ____ ____ by ________ ____ ____ by ________
M217 – Denna Ch4-Quiz2-Rev1 2/11/2009
M217 Chapter 4 Name: ________________________
Quiz 2 Review 1: SSS, SAS, AAS, ASA, and HL congruence
Each pair of triangles below has two corresponding sides or angles marked congruent. Indicate the additional
information needed to enable us to apply the specified congruence postulate.
B D
10) For ASA __________________
For SAS __________________
A F E
C
V S
11) For SAS __________________ M
For SSS __________________
Q T D
R A
12) For ASA __________________
For HL __________________
S T B G
C D
13) For HL __________________
For SAS __________________
A T X
E
A
14) For AAS __________________
W A L
For ASA __________________
K
M217 – Denna Ch4-Quiz2-Rev1 2/11/2009
M217 Chapter 4 Name: ________________________
Quiz 2 Review 1: SSS, SAS, AAS, ASA, and HL congruence
Solve for x and the indicated angles or segments.
15) Given m D = 3x – 11 and m E = 2x+11 15) x = ______________
m D = __________
D E
m F = __________
F
16) Given AB = 3x + 5, BC = 4x + 10, AC = 5x – 25, and A B 16) x = ______________
AB = __________
B
BC = __________
A
C
R
17) Given: RO MP, MO OP
Prove: MRO PRO
M P
O
Statements Reasons
M217 – Denna Ch4-Quiz2-Rev1 2/11/2009
M217 Chapter 4 Name: ________________________
Quiz 2 Review 1: SSS, SAS, AAS, ASA, and HL congruence
T
18) Given: SV bisects TVB
SV bisects TSB
Prove: TSV BSV S V
B
Statements Reasons
19) Given: O is the midpoint of AY
O is the midpoint of ZX Y X
Prove: ZOY XOA
O
Z A
Statements Reasons
M217 – Denna Ch4-Quiz2-Rev1 2/11/2009
M217 Chapter 4 Name: ________________________
Quiz 2 Review 1: SSS, SAS, AAS, ASA, and HL congruence
20) Given: AB DE
AB DE A B
Prove: ABC EDC
C
D E
Statements Reasons
21) Given: JO bisects TOR T
JO bisects TJR
Prove: TO RO
J O
R
Statements Reasons
M217 – Denna Ch4-Quiz2-Rev1 2/11/2009