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Triangle Congruence 2 - Humble Independent School … · Web viewUnit #7: Triangle Congruence...

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Name _________________________________________ Period ____ GP U NIT NIT #7: T #7: T RIANGLE RIANGLE C C ONGRUENCE ONGRUENCE
Transcript

Name _________________________________________ Period ____ GP

UUNITNIT #7: T #7: TRIANGLERIANGLE C CONGRUENCEONGRUENCE

Name _________________________________________ Period ____ 9/29 – 10/7/08 GLCongruent PolygonsSSSSAS

AASHLASA

Congruence Statement

Corresponding PartsCPCTC

Name _________________________________________ Period ____ 9/29 – 10/7/08GL

Dates, assignments, and quizzes subject to change without advance noticeMonday Tuesday Block Day Friday

7/8

CCONGRUENTONGRUENT P POLYGONSOLYGONSSSS SSS ANDAND SAS SAS

9ASA, AAS, and HL

12Proofs

13 QUIZ CPCTCCPCTC

14/15 REVIEW

TEST – (PTEST – (PROOFSROOFS))

16

TEST 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, 11/12/12Triangle Congruence Proofs

I can write a two-column proof to show that two triangles are congruent. PRACTICE: Triangle Proofs Worksheet Part 1

Tuesday, 11/13/124-6: 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 ______ GHTriangle Congruence

I. Name the congruent triangles.

1. 2.

3. 4.

II. Name the congruent triangle and the congruent parts..7.

Use the congruency statement to fill in the corresponding congruent parts.

8.

9. . Find x. 10. Find y.

C

A R

G

E

O

B

O

X

FO

XL

I

N E

A

R

A

21°(3y)°

35o

Third Angles Theorem (add to Theorems, Postulates and Definitions Card) –

R

Q

N

MP

BCD

Triangle Congruence Worksheet #1For each pair of triangles, tell which postulates, if any, make the triangles congruent.

12. ABC EFD ______________ 13. ABC CDA ______________

14. ABC EFD ______________ 15. ADC BDC ______________

21. MAD MBC ______________ ABE CDE ______________

23. ACB ADB ______________ 23. ______________

23. ______________

C

A B D

F

E

A

C

B D

F

E A BD

C

C

AD

B

A

C

D

B

D

A

C

BMA B

E

CD

Triangle Congruence Worksheet #2I. For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent.

1. AEB DEC ______________ 2. CDE ABF ______________

3. DEA BEC ______________ 4. AGE CDF ______________

5. RTS CBA ______________ 6. ABC ADC ______________

7. BAP BCP ______________ 8. SAT SAR ______________Given: BD bisects ABC

A

E C

D

B

A

D

E

F

B

C

A B

CD

E

T S

RB

C

A

A

B

D

C

T

S

R

AB

A

P

C

D

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. 3. Given: T is the midpoint of WR

a. ______________ a. ______________ a. ______________

b. _____ _____ b. _____ _____ b. _____ _____

c. ______________ c. ______________ c. ______________

4. 5. Given: IH Bisects WIS 6.

a. ______________ a. ______________ a. ______________

b. _____ _____ b. _____ _____ b. _____ _____

c. ______________ c. ______________ c. ______________

7. 8. 9.

a. ______________ a. ______________ a. ______________

b. _____ _____ b. _____ _____ b. _____ _____

c. ______________ c. ______________ c. ______________

A B

D

E

C

L U

G E

R

U

S

T

I

WH

S

A

WT

E

R

H

T

A

M

P

L

O

VE

10. Given: I is the midpoint 11. 12. of ME and SL

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

_______ ________ ________ ________ _______ _______

4. AAS 5. HL 6. ASA

_______ ________ ________ ________ _______ _______

M L

S

I

E

A

C

B

F

D E

F

AD

EB

C

C

AB

D E

F

A

B

C

D

PS

T

RQ

P

R SQ

D C

BA

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.

8. 11.

9.

1 2

X Y

W Z

V

2 2p

20(7p+13)

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.

I can write a congruency statement representing two congruent polygons1. Write a congruency statement for the two triangles at right.

I can identify congruent parts of a polygon, given a congruency statement2. List ALL of the congruent parts if

I can use algebra to find the side lengths and angle measures of congruent polygons3. Find p.

4. Find x.

I can name the five ways to prove triangles are congruent5. Name the 5 ways to prove triangles congruent.

I can prove triangles are congruentFor each pair of triangles, tell: (a) Are they congruent (b) Write the triangle congruency statement. (c) Give the postulate that makes them congruent.

6.

7.

8. Given: I is the midpoint of ME and SL

C

A R

G

E

O

A

B

C

D

A

WT

E

R

D C

(2x + 7)°

1

2

BA

(x – 8x)°

M L

S

I

E

I can mark pieces of a triangle congruent given how they are to be proved congruent9. What information is

missing to use HL? 10. What information is missing to use

SAS?

IV. For which value(s) of x are the triangles congruent?

3. x = _______________ 4. x = _______________

5. x = _______________

I can write a two-column proof over congruent triangles

11.

12. Complete and review ALL proofs on the proofs worksheet.

P

R SQ

D C

A B

A

D1

m 3 = x2

m 4 = 7x - 10

B

E C23 4

4x + 8 7x - 4

A

BR

C

x2 + 3x

D

A

B

C9x - 8

W

SR

Z

T

x2 + 2x x2 + 24

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