Name _________________________________________ Period ____ GP
UNIT #7: TRIANGLE CONGRUENCE
Name _________________________________________ Period ____ 9/29 – 10/7/08 GL
Congruent Polygons AAS Congruence Corresponding Parts
SSS HL Statement CPCTC
SAS ASA
Name _________________________________________ Period ____ 9/29 – 10/7/08
GL
Dates, assignments, and quizzes subject to change without advance notice
Monday Tuesday Block Day Friday
7/8 9
CONGRUENT POLYGONS ASA, AAS, and HL
SSS AND SAS
12 13 14/15 16
Proofs QUIZ REVIEW TEST
CPCTC
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 ______ GH
Triangle Congruence
I. Name the congruent triangles.
1. OGD ________ 2. RAC ________
C G O
A R
E
3. LIN _______ 4. FOX ______
I A F
O
O
X
L E X
N R 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 _____ FE _____ EFI _____
FI _____ FIE _____ IE _____
9. PQR MNR . Find x. 10. ABC ADC. Find y.
Q
A
x° R M (3y)° 21°
P
35o
D C B
N
Third Angles Theorem (add to Theorems, Postulates and Definitions Card) –
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
A B D E
D A
14. ABC EFD ______________ 15. ADC BDC ______________
C F C
A B D E A D B
21. MAD MBC ______________ ABE CDE ______________
D C
D C
A B
A M B
23. ACB ADB ______________ 23. ______________
A B
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 C
E C F
B
E
A
B
D
3. DEA BEC ______________ 4. AGE CDF ______________
A B
D C
5. RTS CBA ______________ 6. ABC ADC ______________
B
T S
C
A C
R
A B
D
7. BAP BCP ______________ 8. SAT SAR ______________
Given: BD bisects ABC
A R
A S
B
P D
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. 2. O 3. Given: T is the midpoint of WR
D C
A E
E
E T
L V W R
A B
a. ______________ a. ______________ a. ______________
b. _____ _____ b. _____ _____ b. _____ _____
c. ______________ c. ______________ c. ______________
4. 5. Given: IH Bisects WIS 6.
I L U
W S G E
H
a. ______________ a. ______________ a. ______________
b. _____ _____ b. _____ _____ b. _____ _____
c. ______________ c. ______________ c. ______________
7. 8. 9.
H P
R S A
T
M
U T
a. ______________ a. ______________ a. ______________
b. _____ _____ b. _____ _____ b. _____ _____
c. ______________ c. ______________ c. ______________
10. Given: I is the midpoint 11. 12.
of ME and SL C F
M L
I
S E
A B 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 F B
F
E
A B A C
D B
A
D E
C
D
_______ ________ ________ ________ _______ _______
4. AAS 5. HL 6. ASA
P P
D C
S
T
R A B
Q R Q
S
_______ ________ ________ ________ _______ _______
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 2
8. 11.
9.
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 G O
I can write a congruency statement representing two congruent polygons
1. Write a congruency statement for the two triangles at right.
A R
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
20
(7p+13
)
W Z
4. ADC CBA. Find x. D C
(2x + 7)°
2
1 (x – 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.
6. B
A 8. Given: I is the midpoint
C of ME and SL
M L
D I
7. S E
A E
T
W R
I can mark pieces of a triangle congruent given how they are to be proved congruent
9. What information is P 10. What information is missing to use
missing to use HL? SAS?
D C
R Q
S
A B
IV. For which value(s) of x are the triangles congruent?
3. x = _______________ 4. x = _______________
A B A
m 3 = x2
m 4 = 7x - 10
4x + 8 7x - 4
1 3 4 2
E D C C B
R
W Z
5. x = _______________
x2 + 2x x2 + 24
A
x2 + 3x
D B
9x - 8 R S T
C
I can write a two-column proof over congruent triangles
11.
12. Complete and review ALL proofs on the proofs worksheet.
