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- 1. INCLUDED??????INCLUDED?????? CA & AR ∠R & ∠C ∠Α IS INCLUDED BETWEEN ____ & ____ RC IS INCLUDED BETWEEN ____ & _____ C A R GEOM Drill 12/17/14GEOM Drill 12/17/14
- 2. How do we know twoHow do we know two figures are congruent?figures are congruent? If all corresponding sides and angles are congruent
- 3. Objective:Objective: To determine ways to prove triangles congruent
- 4. POSTULATE - SSS POST.POSTULATE - SSS POST. If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.
- 5. POSTULATE - SAS POST.POSTULATE - SAS POST. If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then the triangles are congruent.
- 6. POSTULATE - ASA POST.POSTULATE - ASA POST. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle then the triangles are congruent.
- 7. To determine if triangles are congruent, what would you have to measure? SSS SAS ASA All sides & all angles.
- 8. Which postulate, if any, can be used to prove the triangles congruent? 1. 2.
- 9. 4.
- 10. GT Geometry DrillGT Geometry DrillWrite down the name of the figure described. Only 1 figure. I will keep giving hints Hint 1 : I am a special polygon Hint 2: I have three sides Hint 3: I have an angle that is neither obtuse or acute Hint 4: My sides have a special relationship Right Triangle
- 11. VOCABULARYVOCABULARY HYPOTENUSE LEGS ∠D IS A RIGHT ANGLE FE IS CALLED THE ___?_______ DF & DE ARE CALLED ____?____ F D E
- 12. Geometry ObjectiveGeometry Objective STW continue to prove triangle congruent
- 13. Given: AB || DC; DCGiven: AB || DC; DC ≅≅ ABAB Prove: ABC∆Prove: ABC∆ ≅≅ CDA∆ CDA∆ D C A B
- 14. ProofProof Statement AC ≅ AC < BAC ≅ _______ ∆ABC ≅ CDA∆ Reason Given ____________ If _________ ____________ ____________
- 15. Given: RS ST; TU ST; V is theGiven: RS ST; TU ST; V is the midpoint of STmidpoint of ST Prove: RSV∆Prove: RSV∆ ≅≅ UTV∆ UTV∆ R S T U V ⊥ ⊥
- 16. ProofProof Statement Reason
- 17. AAS THEOREMAAS THEOREM If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle then the triangles are congruent.
- 18. GT GeometryGT Geometry Given: Prove: A B C D E F FEDECBAB ⊥⊥ ; ACFDFEAB ≅≅ ; FEDABC ∆≅∆
- 19. Pythagorean TheoremPythagorean Theorem a b c
- 20. Pythagorean TheoremPythagorean Theorem a b c a2 + b2 = c2
- 21. HLTHEOREMHLTHEOREM If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle , then the triangles are congruent.

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