Name _________________________________________
Period ____
GP
UNIT #7: TRIANGLE CONGRUENCE
Congruent Polygons
SSS
SAS
AAS
HL
ASA
Congruence
Statement
Corresponding Parts
CPCTC
Dates, assignments, and quizzes subject to change without advance notice
Monday
12
Tuesday
13
Proofs
Block Day
7/8
CONGRUENT POLYGONS
SSS AND SAS
14/15
QUIZ
CPCTC
Friday
9
ASA, AAS, and HL
16
REVIEW
TEST
TEST – (PROOFS)
Wednesday, 11/7/12 or Thursday, 11/8/12
4-3 and 4-4: Congruent Triangles, SSS and SAS



I can use the properties of equilateral triangles to find missing side lengths and angles.
I can write a congruency statement representing two congruent polygons.
I can identify congruent parts of a polygon, given a congruency statement.
 I can prove triangles are congruent using SSS, ASA.
PRACTICE: pg. 234 #3-11, 19, 22-25, 31 (15 problems) Triangle Congruence Worksheet #1
Friday, 11/9/12
4-5: ASA, AAS, and HL

I can prove triangles are congruent using ASA, AAS, and HL
 I can mark pieces of a triangle congruent given how they are to be proved congruent.
PRACTICE: Triangle Congruence Worksheet #2
Monday, 11/12/12
Triangle Congruence Proofs

I can write a two-column proof to show that two triangles are congruent.
PRACTICE: Triangle Proofs Worksheet Part 1
Tuesday, 11/13/12
4-6: Triangle Proofs with CPCTC
 QUIZ

I can write a two-column proof to show that two triangles are congruent.
PRACTICE: Triangle Proofs Worksheet Part 2
Wednesday, 11/14/12 or Thursday, 11/15/12
Review
 Test: Triangle Properties (Proofs)
 I can assess my knowledge and prepare for the test.
PRACTICE: Review Worksheet
Friday, 11/16/12
 Test: Triangle Properties
Name __________________________ Period ______
Triangle Congruence
I. Name the congruent triangles.
1. OGD  ________
GH
RAC  ________
2.
C
R
A
3.
LIN  _______
I A
N
R
E
FOX  ______
4.
F
O
O
L
X
E
X
B
II. Name the congruent triangle and the congruent parts..
7.
FGH  ______
EFI 
FG  _____
_____
G
_____
GH  _____
H
_____
FH  _____
Use the congruency statement to fill in the corresponding congruent parts.
8. EFI  HGI
E
O
G
_____
FI  _____
FE  _____
FIE 
_____
EFI 
_____
IE  _____
9.
PQR  MNR . Find x.
ABC  ADC. Find y.
10.
Q
A
x°
R
(3y)°
M
21°
P
35o
N
D
C
Third Angles Theorem (add to Theorems, Postulates and Definitions Card) –
B
Triangle Congruence 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 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
P
A
T
M
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
Name:
Period:
GH
Triangle Proofs Worksheet
For each problem below, write a two-column proof on a separate piece of paper.
I. Proving Triangles Congruent:
1.
5.
2.
3.
6.
4.
II. Using CPCTC
7.
10.
1
8.
9.
2
11.
Review: Triangles and Triangle Congruence
You will need a separate piece of paper to show all your work. This review is not comprehensive; always be sure
to go back through your old homework and quizzes.
C
 I can write a congruency statement representing two congruent polygons
O
G
1. Write a congruency statement for the two triangles at right.
R
A
E
 I can identify congruent parts of a polygon, given a congruency statement
2. List ALL of the congruent parts if
EFG  HGF
 I can use algebra to find the side lengths and angle measures of congruent polygons
3.
WXY  ZYX . Find p.
X
Y
2
2p
V
20
(7p+13
)
4.
ADC  CBA. Find x.
W
Z
D
C
(2x 2 + 7)°
1
2
(x 2 – 8x)°
A
B
 I can name the five ways to prove triangles are congruent
5.
Name the 5 ways to prove triangles congruent.
 I can prove triangles are congruent
For each pair of triangles, tell: (a) Are they congruent (b) Write the triangle congruency statement. (c) Give
the postulate that makes them congruent.
B
6.
8. Given: I is the midpoint
of ME and SL
A
C
M
L
I
D
7.
S
A
E
T
W
R
E
 I can mark pieces of a triangle congruent given how they are to be proved congruent
P
9. What information is
10.
What information
missing to use HL?
is missing to use
SAS?
C
D
R
S
Q
A
B
IV. For which value(s) of x are the triangles congruent?
3. x = _______________
A
4. x = _______________
A
B
m 3 = x2
m 4 = 7x - 10
7x - 4
4x + 8
1
3
E
2
4
C
D
C
B
R
W
5. x = _______________
A
Z
x2 + 2x
x2 + 24
x2 + 3x
B
D
C
9x - 8
R
 I can write a two-column proof over congruent triangles
11.
12. Complete and review ALL proofs on the proofs worksheet.
S
T