H A M P E T Who remembers which angles and sides are congruent if.

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Presentation transcript:

H A M P E T Who remembers which angles and sides are congruent if

Name the three angles and sides are congruent if

What information about the triangles is shown in the drawings?

1 A B C D

2 E F G HI

3 I J K L M N

4 O P Q R S T

Section 4.3 Ways to justify congruent triangles.

Identify the Following Congruencies as: SSSSSS SASSAS ASAASA AASAAS HLHL NoneNone

1 A B C D

2 E F G HI

3 I J K L M N

4 O P Q R 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.SSS2. AAS3. None 4.SAS5. AAS6. SAS7. SAS 8.None9. ASA10. SSS11. AAS or HL 12. ASA13. HL14. None15. SAS or ASA 16.None17. None18. AAS19. None 20.ASA21. HL22. HL23. None 24.ASA25. AAS26. ASA27. AAS or HL 28. HL29. ASA30. HL

Page # 1 – 18, Section ASA2. SSS3. SAS 4.None5. SSS or SAS6. None 7.SSS8. SAS9. SAS 10.SSS or SAS or HL11. None12. ASA 13.ASA14. SAS15. SAS 16. ASA17. None18. None Page # 1-11, Section SAS2. AAS3. AAS4. SAS 5.SSS6. HL7. HL8. None 9. ASA10. HL11. 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: Three N: 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 5.6 Proving triangles are congruent. What are the five ways we can tell if triangles are congruent?

Proof A =B

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?

Practice 29 Answers 1.SAS2. ASA3. SAS or ASA 4.ASA5. SSS6. None 7.SAS8. None9. SSS 10. None11. SSS12. ASA 13. ASA14. None15. SAS Practice 32 Answers 1.ASA2. AAS3. None 4.HL5. AAS6. None 7.ASA8. HL9. SSS 10.AAS11. HL12. AAS 13. AAS14. None15. HL

Worksheet answers 1.SSS2. AAS3. None 4.SAS5. AAS6. SAS7. SAS 8.None9. ASA10. SSS11. AAS or HL 12. ASA13. HL14. None15. SAS or ASA 16.None17. None18. AAS19. None 20.ASA21. HL22. HL23. None 24.ASA25. AAS26. ASA27. AAS or HL 28. HL29. ASA30. 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 # 30 5.Practice # 31 6.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

SSS

SSS

SSS

SSS

SSS

SSS

SAS

SAS

SAS

SAS

SAS

SAS

ASA

ASA

ASA

ASA

ASA

ASA

AAS

AAS

AAS

AAS

AAS

AAS

HL

HL

HL

HL

HL

HL

NONE

NONE

NONE

NONE

NONE

NONE