Name: ___________________________ Block:______

Chapter 4 – Congruent Triangles

Date Assignment Score Learning Target(s)

NotesWhat am I confident about?

Where do I need to spend more time?Am I weak on a prerequisite skill?

Learning Targets:Classify triangles and find measures of their angles.

Identify congruent figures.

Use theorems about isosceles and equilateral triangles.

Use the side lengths to prove triangles are congruent.

Use sides and angles to prove congruence.

Use two more methods to prove congruence.

Use congruent triangles to prove corresponding parts congruent.

1

Unit 4 Syllabus: Ch. 4 Congruent TrianglesBlock

Date Topic Homework

3 B 11/11A 11/12

4.1 Classifying Triangles Worksheet: 4.1 Identifying Triangles

4 B 11/13A 11/14

4.2 Congruent Triangles4.7 Isosceles and Equilateral Triangles

Worksheet: 4.2 Congruent Triangles and 4.7 Isosceles and Equilateral Triangles

5 B 11/17A 11/18

4.1, 4.2, and 4.7 Quiz Khan Academy

6 B 11/19A 11/20

4.3 – 4.5 Congruent Triangle Proofs Day 1

Worksheet: 4.3-4.5 Proving Triangles Congruent

7 B 11/21A 11/24

4.3 – 4.5 Congruent Triangle Proofs Day 2Open Note Quiz

Worksheet: 4.3-4.5 Review

8 B 11/25 4.6 CPCTC Proofs Worksheet: 4.6 CPCTCThanksgiving Break

8 A 12/1 4.6 CPCTC Poofs Worksheet: 4.6 CPCTC9 B 12/2

A 12/3Review Day Ch 4 Review Worksheet

10 B 12/4A 12/5

Ch 4 Test Khan Academy

***Syllabus subject to change due to weather, pep rallies, illness, etc

Need Help?Email your teacher to set up a time before or after school!Peer Tutoring is available through Mu Alpha Theta is Monday, Tuesday, Thursday, and Friday mornings in L403.

Need to make up a test/quiz?Math Make Up Room is open Tuesday, Thursday, and Friday mornings and Monday, Wednesday, and Thursday afternoons.

Name: ___________________________________Block: _______ Date: ___________2

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HW: 4.1 Identifying Triangles

Match the triangle description with the most specific name. (1 point each)

______________________________

7. Can a right triangle also be obtuse? Explain why or why not. (2 points)

8. A triangle has the given vertices. Graph the triangle and classify it by its sides. Then determine if it is a right triangle. A (3, 3), B (6, 9) , C (6, -3) (2 points)

3

For questions 9 and 10, find the value of x. Then classify the triangle by is angles (2 points) 9. 10.

x = x=Triangle: ___________ Triangle:

11. Find the measure of the exterior angle (2 points).

#12-17 Find the measure of the numbered angle. (1 point each) 12. m 1= 13. m 2 =

14. m 3 = 15. m 4 =

16. m 5 = 17. m 6 =

18. Find the values of x and y. (2 points)

4

x =

y=

HW: 4.2 Congruent Triangles and 4.7 Isosceles and Equilateral TrianglesIn the diagram, . Complete the statement. 1. 4. 2. 5.

7. Find the value of x. 8. Identify all pairs of congruent corresponding

parts when

9. Suppose , , Complete the statement. m A = 90, and m F = 20. What is m H? Tell what theorem you used.

10.

11.

12.

13.

Find the unknown measure. 14. 15. 16.

AB = ______ ML= _______ m<T = _______

5

28

Find the value of x and y.

17. 18. 19.

x = ______ x = _____ x = ______

20. 21. 22.

x = _____ y = ______ x = _____ y = ______ x = _____ y = _____

Identify each figure as congruent or not congruent. For those that can be proven congruent, WRITE A CONGRUENCE STATEMENT.

23. 24. 25.

26. 27. 28

HW: 4.3-4.5 Proving Triangles Congruent

6

23

Select the method which will prove the triangles congruent, if possible.

______________ ______________ ______________ ______________

______________ ______________ ______________

8. 9. 10.

ABC _______ by ________ ABC _______ by _______ ABC _______ by _______

11. 12. 13.

ABC _______ by ________ ABC _______ by _______ ABC _______ by _______

Name the included angle between the pairs of sides.

14. 15. 7

SSS Postulate SAS Postulate AAS Theorem ASA Postulate HL Theorem None

60

C D

A

BC

Q

P

G

60

59

61

B A

A

C

B

U

VA

B

S T

C

P

Q

C

B

A

16.

State the 3rd congruence that much be given to prove that .

17. Given: A X 18. Given: A X 19. Given: C Z B Y

Method: AAS Theorem Method: ASA Theorem Method: AAS Theorem

Use the given coordinates to determine if ABC DEF. (*Hint- distance formula or graph)

20. A ( 2, -2) B (5, 1) C (4, 8) 21. A ( 1, -1) B (-2, 2) C (-3, -4) D (7, 5) E (10, 8) F (9, 13) D (3, 2) E (6, -1) F (7, 5)

Tell whether you can use the given information to determine whether .

22. 23.

HW: 4.3-4.5 Review Directions: Complete all of the problems and show all work if necessary.

8

24

Determine which method you would use to prove the two triangles congruent. If none of the methods apply, write NONE.

1. __________________ 2. ____________________ 3.__________________

4. __________________ 5. ____________________ 6.__________________

9

For the following, mark the congruent parts in the triangles DEF and RST. If the triangles can be proved congruent by the method given, what additional parts are needed?

13.

14.

Statements Reasons

1. BE BC 1._______________

2. A D 2._______________

3. ABE CBD 3._______________

4. ABE DBC 4._______________HW: 4.6 CPCTC

1) Complete the proof (1 point per line)

10

38

Statements Reasons1.   1.

2.   2.3.   3.4.   4.

2) Complete the proof (2 point per line)

Given:

Prove:

Statements Reasons

1.

1.  Given

2. 2.  Two angles that form a linear pair are supplementary.

3. 3. Supplements of the same angle, or congruent angles, are congruent.

4. 4.

5. 5.

6. 6.

3.) Complete the proof (2 point per line)

11

Statements Reasons

1.  

1.

2.   2. 

3.   3. Right angles are congruent.

4.   4.

5.   5.

4.) Complete the proof (2 points per line)

Statements Reasons1. ;   1.  Given

2. 2.

3. 3.

4. 4.

5. 5.

6. 6.

7. 7. If two sides of a triangle are congruent, the angles opposite them are congruent.

HW: Review Ch 4

12

27

Basic Triangle Information1.) Given the diagram, identify the following triangles.

a.) right scalene triangle __________b.) equiangular triangle __________c.) obtuse isosceles triangle. __________

2.) Given the diagram, identify the following terms.a.) In ABD, identify the vertex angle. _______b.) In ACD, identify the hypotenuse. _______c.) In ACD, identify the legs. _______, _______d.) In ABD, identify the legs. _______, _______

3.) Complete the sentence with always, sometimes, or never.a.) An isosceles triangle is _________________ a right triangle.b.) An obtuse triangle is _________________ a right triangle.c.) An isosceles triangle is _________________ an equilateral triangle. d.) An obtuse triangle is _________________ an isosceles triangle.

Solve for the variables4.) x = _____ 5.) x= _______

6.) x = _______ 7.) x = _______ y = _______

13

8.) x = _______; y = _______ 9.) x = _______

10.) x = _______ 11.) x = _______

12.) Solve for the missing angles.

m1 = _____ m2 = _____

m3 = _____

In each diagram, the given triangles are congruent. Solve for the variable.13.) x = _______ 14.) x = _______

Solve for each variable. Show all work. 15.) x = _______ 16.) x = _______; y = _______

14

17.) x = _______; y = _______ 18.) x = _______

19.) What is the perimeter of the triangle? ___________

Determine if the triangles are congruent. If so, state the postulate.20.) ______________ 21.) ______________ 22.) ______________

15

A C

23.) ______________ 24.) ______________ 25.) ______________

Complete the proof.

26.

27.

Statements Reasons

16