Triangle Congruence Extra - Denton ISD

Name _________________________________________

Period ____

GP

UNIT #7: TRIANGLE CONGRUENCE

Congruent Polygons

AAS

Congruence

Corresponding Parts

SSS

HL

Statement

CPCTC

SAS

ASA

Dates, assignments, and quizzes subject to change without advance notice

Monday

Tuesday

Block Day

Friday

7/8 CONGRUENT POLYGONS SSS AND SAS

9 ASA, AAS, and HL

12 Proofs

13 QUIZ CPCTC

14/15

16

REVIEW

TEST ? (PROOFS)

TEST

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 ________

2. RAC ________

C

G

GH O

3. LIN _______ I A

A

R E

4. FOX ______

O

F

O

L

N R

E

X

B

X

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.

Q

x? R

M

P

35o N

10. ABC ADC. Find y.

A

(3y)?

21?

D

C

B

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 F

C

B

A

B D

E

14. ABC EFD

C

______________

F

D

A

15. ADC BDC ______________

C

A

B D

E

A D

B

21. MAD MBC ______________

D

C

ABE CDE

D

______________

C

E

A

M

B

A

B

23. ACB ADB

C

______________ 23.

______________

A

B

D

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 ______________

A

E

C

B

D

2. CDE ABF ______________

D

C

F

E

A

B

3. DEA BEC ______________

A

B

E

4. AGE CDF ______________

D

5. RTS CBA

C

______________

T

S

C

R

A

B

6. ABC ADC ______________

B

A

C

D

7. BAP BCP ______________ Given: BD bisects ABC

A

8. SAT SAR ______________

R

A

S

B

P

D

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

C

E

A

B

a. ______________

b. _____ _____

c. ______________

2.

O

E

L

V

a. ______________ b. _____ _____ c. ______________

3. Given: T is the midpoint of WR

A

E

T

W

R

a. ______________ b. _____ _____ c. ______________

4.

a. ______________ b. _____ _____ c. ______________

5. Given: IH Bisects WIS

I

W

H

S

a. ______________ b. _____ _____ c. ______________

6.

L

U

G

E

a. ______________ b. _____ _____ c. ______________

7.

a. ______________ b. _____ _____ c. ______________

8.

a. ______________ b. _____ _____ c. ______________

9.

H

T

P A

M

a. ______________ b. _____ _____ c. ______________

10. Given: I is the midpoint 11. of ME and SL

M

L

I

S

E

a. ______________ b. _____ _____ c. ______________

a. ______________ b. _____ _____ c. ______________

12.

C

F

AB DE

a. ______________ b. _____ _____ c. ______________

III. Using the given postulate, tell which parts of the pair of triangles should be shown congruent.

1. SAS

F A

D

E B C

_______ ________

2. ASA

C

B A

D

F E

________ ________

3. SSS

B

A

C

D

_______ _______

4. AAS

P S

T R

Q

_______ ________

5. HL

P

R

Q S

________ ________

6. ASA

D

A

C 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.

4.

II. Using CPCTC 7.

1

2

8.

6. 10. 11.

9.

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