H

A

M

PE

THAM PET

Who remembers which angles and sides are congruent if

PAT XYZ

Name the three angles and sides are congruent if

What information What information about the triangles is about the triangles is

shown in the shown in the drawings?drawings?

1A

B C

D

2E

F G

HI

3I

J

K

L

M

N

4

OP

QR

S

T

Section 4.3 Section 4.3 Ways to justify Ways to justify

congruent triangles.congruent triangles.

http://nlvm.usu.edu/en/nav/frames_asid_165_g_1_t_3.html

Identify the Following Identify the Following Congruencies as:Congruencies as:

•SSSSSS•SASSAS•ASAASA

•AASAAS•HLHL•NoneNone

1A

B C

D

2E

F G

HI

3I

J

K

L

M

N

4

OP

QR

S

T

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

Worksheet answers

1. SSS 2. AAS 3. None4. SAS 5. AAS 6. SAS 7. SAS8. None 9. ASA 10. SSS 11. AAS or HL12. ASA13. HL 14. None 15. SAS or ASA

16.None 17. None 18. AAS 19. None20.ASA 21. HL 22. HL 23. None24.ASA 25. AAS 26. ASA 27. AAS or HL28. HL 29. ASA 30. HL

Page 170-171 # 1 – 18, Section 5.51. ASA 2. SSS 3. SAS4. None 5. SSS or SAS 6. None7. SSS 8. SAS 9. SAS10.SSS or SAS or HL 11. None 12. ASA13.ASA 14. SAS 15. SAS16. ASA 17. None 18. None

Page 185-86 # 1-11, Section 5.8

1. SAS 2. AAS 3. AAS 4. SAS5. SSS 6. HL 7. HL 8. None9. ASA 10. HL 11. AAS

Two mathematicians, Mr. Gauss and Mr. Newton, are walking down the street. Here is a portion of their conversation.N: How many children do you have?G: ThreeN: How old are they?G: The product of their ages is 36.N: That doesn’t tell me how old they are.G: The sum of their ages is the same as the house number on that house you see across the street. N: It is still impossible for me to tell their ages.G: The eldest is visiting her grandmother.N: Ah, now I know how old they are.

How old are Gauss’ three children?

Section 5.6Proving triangles are congruent.

What are the five ways we can tell if triangles are congruent?

http://regentsprep.org/Regents/mathb/1b/Reccontri.htm

Proof

A =B

http://www.chatham.edu/PTI/ProofinMathematics/proof_curriculum.htm

A man is camped at the foot of a mountain, at dawn he breaks camp and begins hiking up the mountain. He reaches the peak of the mountain at sunset and camps out for the night at the summit. At sunrise on the next day he breaks camp and begins hiking down the mountain using the same path he took on the way up. He reaches his original camp at sunset. Is there necessarily a point on the path at which the man arrives at the same time of day on both days? Why or why not?

http://www.emunix.emich.edu/~kkustron/306/logic.ppt

Practice 29 Answers

1. SAS 2. ASA 3. SAS or ASA4. ASA 5. SSS 6. None7. SAS 8. None 9. SSS10. None 11. SSS 12. ASA13. ASA 14. None 15. SAS

Practice 32 Answers

1. ASA 2. AAS 3. None4. HL 5. AAS 6. None7.ASA 8. HL 9. SSS10.AAS 11. HL 12. AAS13. AAS 14. None 15. HL

Worksheet answers

1. SSS 2. AAS 3. None4. SAS 5. AAS 6. SAS 7. SAS8. None 9. ASA 10. SSS 11. AAS or HL12. ASA13. HL 14. None 15. SAS or ASA

16.None 17. None 18. AAS 19. None20.ASA 21. HL 22. HL 23. None24.ASA 25. AAS 26. ASA 27. AAS or HL28. HL 29. ASA 30. HL

Agenda.

1. What are the five ways to verify congruent triangles?

2. If MAX WIL, what do you know?3. Hand back short quiz from Friday.4. Practice # 305. Practice # 316. HW

Practice 30 # 1

Practice 30 # 2

Practice 30 # 3

Practice 30 # 4

Practice 30 # 5

Practice 30 # 6

Practice 30 # 7

Practice 30 # 8

Agenda:

1. Put problems from practice 31 on the board.2. Quiz Wednesday on proving congruent triangles and

CPCTC

Practice 31

SSSSSS

SSSSSS

SSSSSS

SSSSSS

SSSSSS

SSSSSS

SASSAS

SASSAS

SASSAS

SASSAS

SASSAS

SASSAS

ASAASA

ASAASA

ASAASA

ASAASA

ASAASA

ASAASA

AASAAS

AASAAS

AASAAS

AASAAS

AASAAS

AASAAS

HLHL

HLHL

HLHL

HLHL

HLHL

HLHL

NONENONE

NONENONE

NONENONE

NONENONE

NONENONE

NONENONE