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Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES. 2 3 1.

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Presentation on theme: "Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES. 2 3 1."— Presentation transcript:

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2 Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES. 2 3 1

3 2 3

4 3 1

5 2 1

6 3

7 2

8 1

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10 What are the five triangle congruence theorems? 5 2 3 4 1

11 5 2 3 4 SSS

12 What are the five triangle congruence theorems? 5 SAS 3 4 1

13 What are the five triangle congruence theorems? 5 2 ASA 4 1

14 What are the five triangle congruence theorems? 5 2 3 AAS 1

15 What are the five triangle congruence theorems? HL 2 3 4 1

16 What are the five triangle congruence theorems? 5 SAS 3 4 SSS

17 What are the five triangle congruence theorems? 5 2 ASA 4 SSS

18 What are the five triangle congruence theorems? 5 2 3 AAS SSS

19 What are the five triangle congruence theorems? HL 2 3 4 SSS

20 What are the five triangle congruence theorems? 5 SAS ASA 4 1

21 What are the five triangle congruence theorems? 5 SAS 3 AAS 1

22 What are the five triangle congruence theorems? HL SAS 3 4 1

23 What are the five triangle congruence theorems? 5 2 ASA AAS 1

24 What are the five triangle congruence theorems? HL 2 ASA 4 1

25 What are the five triangle congruence theorems? HL 2 3 AAS 1

26 What are the five triangle congruence theorems? 5 SAS ASA 4 SSS

27 What are the five triangle congruence theorems? 5 SAS 3 AAS SSS

28 What are the five triangle congruence theorems? HL SAS 3 4 SSS

29 What are the five triangle congruence theorems? 5 2 ASA AAS SSS

30 What are the five triangle congruence theorems? HL 2 ASA 4 SSS

31 What are the five triangle congruence theorems? HL 2 3 AAS SSS

32 What are the five triangle congruence theorems? 5 SAS ASA AAS 1

33 What are the five triangle congruence theorems? HL SAS ASA 4 1

34 What are the five triangle congruence theorems? HL 2 ASA AAS 1

35 What are the five triangle congruence theorems? HL 2 ASA AAS SSS

36 What are the five triangle congruence theorems? HL SAS ASA AAS 1

37 What are the five triangle congruence theorems? HL SAS ASA AAS SSS

38 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F 1 2 3 4

39 What are the reasons for this proof? Given 2 3 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

40 What are the reasons for this proof? 1 Def. of Angle Bisector 3 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

41 What are the reasons for this proof? 1 2 Reflexive 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

42 What are the reasons for this proof? 1 2 3 AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

43 What are the reasons for this proof? Given Def. of Angle Bisector 3 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

44 What are the reasons for this proof? Given 2 Reflexive 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

45 What are the reasons for this proof? Given 2 3 AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

46 What are the reasons for this proof? 1 Def. of Angle Bisector Reflexive 4 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

47 What are the reasons for this proof? 1 Def. of Angle Bisector 3 AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

48 What are the reasons for this proof? 1 2 Reflexive AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

49 What are the reasons for this proof? Given Def. of Angle Bisector Reflexive 44 What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

50 What are the reasons for this proof? Given Def. of Angle Bisector 3 4 AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

51 What are the reasons for this proof? Given 2 Reflexive AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

52 What are the reasons for this proof? 1 Def. of Angle Bisector Reflexive AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

53 What are the reasons for this proof? Given Def. of Angle Bisector Reflexive AAS What are the reasons for this proof? Given: GE bisects ∠ DEF ∠ D ≅ ∠ F

54 What three parts do you need to know are congruent to use the HL theorem? 2 3 1

55 2 3 Right Angles

56 What three parts do you need to know are congruent to use the HL theorem? Hypotenuse 3 1

57 What three parts do you need to know are congruent to use the HL theorem? 2 Leg 1

58 What three parts do you need to know are congruent to use the HL theorem? Hypotenuse 3 Right Angles

59 What three parts do you need to know are congruent to use the HL theorem? 2 Leg Right Angles

60 What three parts do you need to know are congruent to use the HL theorem? Hypotenuse Leg 1

61 What three parts do you need to know are congruent to use the HL theorem? Hypotenuse Leg Right Angles

62 Solve for x, y, and z. 2 3 1

63 2 3 x=60

64 Solve for x, y, and z. y=15 3 1

65 Solve for x, y, and z. 2 z=25 1

66 Solve for x, y, and z. y=15 3 x=60

67 Solve for x, y, and z. 2 z=25 x=60

68 Solve for x, y, and z. y=15 z=25 1

69 Solve for x, y, and z. y=15 z=25 x=60

70 What are the five triangle congruence theorems? HL SAS 3 AAS 1

71 What are the five triangle congruence theorems? 5 SAS ASA AAS SSS

72 What are the five triangle congruence theorems? HL SAS ASA 4 SSS

73 What are the five triangle congruence theorems? HL SAS 3 AAS SSS

74 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given 1 Vertical ∠ s ≅ 3

75 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given Def. of Segment Bisector Vertical ∠ s ≅ 3

76 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given 1 Vertical ∠ s ≅ 3

77 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given 1 Vertical ∠ s ≅ AAS

78 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given Def. of Segment Bisector Vertical ∠ s ≅ 3

79 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given 1 Vertical ∠ s ≅ AAS

80 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given Def. of Segment Bisector Vertical ∠ s ≅ AAS

81 What are the missing parts for this proof? Given: AE bisects DC ∠ C ≅ ∠ D Given Def. of Segment Bisector Vertical ∠ s ≅ AAS

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