MATH 2 CLASS PRACTICE – CONGRUENT FIGURES
I. Name the congruent triangles.
1.∆𝑂𝐷𝐺 ≅ __________
2. ∆𝐶𝐴𝑅 ≅ __________
C
R
A
3. ∆𝐿𝐼𝑁 ≅ __________
I A
E
4. ∆𝐵𝑂𝑋 ≅ __________
F
A
O
L
O
G
E
X
N R
X
B
II. Name the congruent triangle and the congruent parts..
7.
∆𝐹𝐸𝐼 ≅ __________
∠𝐸𝐹𝐼 ≅ __________
FG  _____
∠𝐺 ≅ _______
GH  _____
∠𝐻 ≅ _______
FH  _____
Use the congruency statement to fill in the corresponding congruent parts.
8. ∆𝐿𝐴𝑃 ≅ ∆𝐻𝑂𝑇
∠𝐴𝑃𝐿 ≅ __________
̅̅̅̅ ≅ __________
𝐿𝑃
∠𝑃𝐴𝐿 ≅ __________
∠𝑃𝐿𝐴 ≅ _________
̅̅̅̅
𝐴𝑃 ≅ __________
̅̅̅̅
𝐴𝐿 ≅ __________
9. ∆𝑃𝑄𝑅 ≅ ∆𝑀𝑁𝑅. Find x.
10. ∆𝐴𝐵𝐶 ≅ ∆𝐴𝐷𝐶 Find y.
Q
A
x°
R
(3y)°
M
21°
P
35o
N
D
C
B
Triangle Congruence Shortcuts Worksheet #1
For each pair of triangles, tell which postulates, if any, make the triangles congruent.
12. ABC  EFD
13. ABC  CDA
______________
C
______________
C
B
D
A
F
A
B
D
E
14. ABC  EFD
15. ADC  BDC
______________
C
F
C
B
A
D
21. MAD  MBC
______________
A
E
ABE
______________
B
D
 CDE
______________
D
D
C
C
E
A
A
23. ACB  ADB
______________
C
B
A
D
23.
B
B
M
______________
23.
______________
Triangle Congruence Shortcuts Worksheet #2
I. For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent.
1. AEB  DEC
2. CDE  ABF ______________
______________
A
D
E
C
F
C
B
E
A
B
D
3. DEA  BEC
A
4. AGE  CDF ______________
______________
B
E
D
C
5. RTS  CBA
6. ABC  ADC ______________
______________
B
T
S
C
A
C
R
A
7. BAP  BCP
Given: BD bisects
B
D
8. SAT  SAR ______________
______________
ABC
A
R
S
A
B
D
P
T
C
II. For each pair of triangles, tell: (a) Are they congruent (b) Write the triangle congruency statement.
(c) Give the postulate that makes them congruent.
1.
D
2.
C
3. Given: T is the midpoint of WR
O
A
E
T
E
L
A
E
R
W
V
B
a. ______________
a. ______________
a. ______________
b. _____   _____
b. _____   _____
b. _____   _____
c. ______________
c. ______________
c. ______________
4.
5. Given: IH Bisects WIS
6.
I
W
H
S
L
U
G
E
a. ______________
a. ______________
a. ______________
b. _____   _____
b. _____   _____
b. _____   _____
c. ______________
c. ______________
c. ______________
7.
8.
9.
H
A
T
a. ______________
a. ______________
a. ______________
b. _____   _____
b. _____   _____
b. _____   _____
c. ______________
c. ______________
c. ______________
10. Given: I is the midpoint
of ME and SL
M
11.
12.
C
F
L
I
S
E
B
A
D
E
a. ______________
a. ______________
a. ______________
b. _____   _____
b. _____   _____
b. _____   _____
c. ______________
c. ______________
c. ______________
III. Using the given postulate, tell which parts of the pair of triangles should be shown congruent.
1. SAS
2. ASA
3. SSS
C
A
E
D
B
F
F
B
A
B
A
E
D
C
C
D
_______  ________
4. AAS
________  ________
5. HL
_______  _______
6. ASA
P
P
D
S
C
T
R
A
Q
_______  ________
R
S
Q
________  ________
_______  _______
B