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Chapter 2 Review

Chapter 2 Review. Conditional statements have a IF and a THEN. Conclusion. Hypothesis. If you are in Mrs. Buric’s Geometry class, then you love Math!. Hypothesis:. you are in Mrs. Buric’s Geometry class. Conclusion:. you love Math. Converse.

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Chapter 2 Review

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  1. Chapter 2 Review

  2. Conditional statements have a IF and a THEN. Conclusion Hypothesis

  3. If you are in Mrs. Buric’s Geometry class, then you love Math! Hypothesis: you are in Mrs. Buric’s Geometry class Conclusion: you love Math

  4. Converse A converse is a statement that switches the hypothesis and the conclusion.

  5. Converse If you love Math, then you are in Mrs. Buric’s Geometry class!

  6. Counterexamples An example that with given the hypothesis makes the conclusion false

  7. Counterexample If you can fly, then you are a bird. Insects

  8. A biconditionalis a statement where the conditionaland the converse are both true! “p if and only if q” (biconditional)

  9. Example: Conditional: An angle is right if it measures 90 degrees. TRUE! Converse: An angle measures 90 degrees if it is a right angle. TRUE!

  10. Complementary angles • Add up to 90 degrees

  11. Supplementary angles • Add up to 180 degrees

  12. Perpendicular Lines are two lines that intersect to form right angles (90 degrees).

  13. Addition Property If a = b and c = d, then a + c = b + d

  14. Subtraction Property If a = b and c = d, then a - c = b - d

  15. Multiplication Property If a = b, then ac = bc

  16. Division Property If a = b and c 0, then a/c = b/c

  17. Substitution Property If a = b, Then either a or b may be substituted for the other in any equation or inequality

  18. Reflexive Property a = a

  19. Symmetric Property If a = b, Then b = a

  20. Transitive Property If a = b and b =c, Then a = c

  21. Distributive Property a(b + c) =ab +ac

  22. Reflexive Property DE DE <D <D

  23. Transitive Property If DE FG and FG JK then DE JK

  24. Theorem If two lines are perpendicular, then they form congruent adjacent angles.

  25. Theorem If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.

  26. Theorem • If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.

  27. Theorem • If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent.

  28. Homework • Pg 626 • 1-11 ALL • PG 627 • 1-11 ALL

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