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Bellwork • Do the following problem on a ½ sheet of paper and turn in. The ratios of three angles in a triangle are 8:6:4. Find the value of x and classify the triangle by sides and angles. 7.2 Two Proof Oriented Triangle Theorems Students will be able to apply the AAS and No Choice Theorems. No Choice Theorem— Toolbox! • Prove: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. • An Algebraic Proof: Example 1 • Given: A X AVZ XYB ZVB BYZ • Prove: VBYZ is a parallelogram. Example 2 • Given: O is the center SOV TOW WSO VTO • Prove: W V Homework • pg. 304 #3, 4, 6, 9, 10, 14, 16 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. D D B C Skip C C C B D D C B A B C B D skip skip C B C B 25.B 26.A 27.B 28.B 29.D 30.C 31.C 32.A 33.C 34.D 35.C (repeat) 36.B 37.A 38.A 39.B 40.C 41.D 42.C 43.A 44.C 45.C 46.A 47.C 48.A