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

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Presentation transcript:

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

2 3

3 1

2 1

3

2

1

What are the five triangle congruence theorems?

SSS

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

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

What are the five triangle congruence theorems? AAS 1

What are the five triangle congruence theorems? HL

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

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

What are the five triangle congruence theorems? AAS SSS

What are the five triangle congruence theorems? HL SSS

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

2 3 Right Angles

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

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

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

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

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

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

Solve for x, y, and z

2 3 x=60

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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