Honors Geometry Chapter 2 Test * Required

Transcription

1 Honors Geometry Chapter 2 Test * Required Matching Vocabulary Section 1. Compound with the word "and" 2. negates both the hypothesis and conclusion 3. "if-then" s 1/14

2 4. the "opposite" of a 5. any sentence that is either true or false 6. switches the hypothesis and conclusion 2/14

3 7. compound joined by the word "or" 8. switches and negates the hypothesis and conclusion Matching Properties of Algebra Section 9. if a=b then 5a=5b * 3/14

4 10. if x=7 then 7=x * 11. if a=4 then a can be replaced by 4 * 12. if a=b then a-1 = b-1 * 4/14

5 13. if a=b and b=c then a=c * 14. 2x=2x * 15. 5(b+2)=5b+10 * 5/14

6 16. if a=b then a+9=b+9 * 17. if a=b then a/8=b/8 * Determining Truth Value of Compound Statements Section 18. p v q * True False 19. q ^ r * True Flase 6/14

7 20. ~p ^ ~r * True False Identify Hypothesis and Conclusions of Conditional Statements Section 21. If you are a good student, then you get good grades * Identify the hypothesis and conclusion of the statment h= you are a good student c= you get good grades h= you get good grades c= you are a good student h= you are not a good student c= you don't get good grades h= you don't get good grades c= you are not a good student 22. If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a paralellogram * Identify the hypothesis and conclusion of the statment h= the opposite sides of a quadrilateral are congruent c= the quadrilateral is a parallelogram h= the quadrilateral is a parallelogram c= the opposite sides of a quadrilateral are congruent h= the opposite sides of a quadrilateral are not congruent c= the quadrilateral is not a parallelogram h= the quadrilateral is not a parallelogram c= the opposite sides of a quadrilateral are not congruent Write forms of the Conditional Section 23. If you take classes at Reitz, then you are in high school * What is the CONVERSE of the? If you are a high school student, then you take classes at Reitz If you do not take classes at Reitz, then you are not in high school If you take classes at Reitz, then you are not in high school If you are not in high school, then you do not take classes at Reitz 24. If you take classes at Reitz, then you are in high school * What is the INVERSE of the? If you are a high school student, then you take classes at Reitz If you do not take classes at Reitz, then you are not in high school If you take classes at Reitz, then you are not in high school If you are not in high school, then you do not take classes at Reitz 7/14

8 25. If you take classes at Reitz, then you are in high school * What is the CONTRAPOSITIVE of the? If you are a high school student, then you take classes at Reitz If you do not take classes at Reitz, then you are not in high school If you take classes at Reitz, then you are not in high school If you are not in high school, then you do not take classes at Reitz Identify the Property Section 26. if 3(x+5)=9 then 3x+15=9 * 27. If AB=CD and CD=4, then AB=4 * 8/14

9 28. If x+7=4, then x=-3 * 29. If -3x=9, then x=-3 * Law of Syllogism and Law of Detachment Section Determine whether each conclusion is valid based on the given information. Respond Law of Syllogism, Law of Detachment, or Invalid. 30. Given: If two angles are supplementary to the same angle then they are congruent. A and C are supplementary to B. Conclusion: A is congruent to C. * Invalid Law of Syllogism Law of Detachment 9/14

10 31. Given: If Helen is going to work, then she is wearing pearls. Helen is wearing pearls. Conclusion: Helen is going to work. * Invalid Law of Syllogism Law of Detachment 32. Given: If an angle is supplementary to an obtuse angle, then it is acute. If an angle is acute, then its measure is less than 90. Conclusion: If an angle is supplementary to an obtuse angle then its measure is less than 90. * Invalid Law of Syllogism Law of Detachment 33. Given: If you study for the test, then you will receive a high grade. Your grade on the test is high. Conclusion: You studied for the test. * Invalid Law of Syllogism Law of Detachment Valid/Invalid Conclusions Section Make a valid conclusion for the given information. If no valid conclusion can be determined respond "No conclusion". 34. If the heat wave continues, then air conditioning will be used more frequently. If air conditioning is used more frequently, then energy costs will be higher. * If the heat wave continues then energy costs will be higher. If energy costs will be higher then air conditioning will be used more frequently. If energy costs will be higher then the heat wave continues. No conclusion 35. If the sum of the measures of two angles is 180, then the angles are supplementary. m A + m B is 180. * Supplementary <'s add to 180 degrees. <A and <B add to 180 degrees. <A and <B are supplementary angles. No conclusion 10/14

11 Inductive and Deductive Reasoning Section Determine if "Inductive or Deductive Reasoning" was used to make each conjecture. 36. For the past few years, every windstorm in this area comes from the north. I can see a big cloud of dust caused by a windstorm in the distance. Conclusion: A new windstorm is coming from the north. * Inductive Reasoning Deductive Reasoning 37. Jennifer leaves for school at 7:00 a.m. Jennifer is always on time. Conclusion: Jennifer assumes, then, that she will always be on time if she leaves at 7:00 a.m. * Inductive Reasoning Deductive Reasoning 38. All houses on the South Street are falling apart. Sherry lives on South Street. Conclusion: Sherry's house is falling apart. * Inductive Reasoning Deductive Reasoning. 39. Bachelor's are unmarried men. Bill is unmarried. Conclusion: Bill is a bachelor. * Inductive Reasoning Deductive Reasoning. Identify Postulates Section State the postulate that can be used to prove the given. 11/14

12 40. Points M and Q are collinear. * A line contains at least 2 points. A plane contains at least 3 points not on the same line. If 2 points lie in a plane, then the entire line containing those points lies in that plane. If 2 lines intersect, then their intersection is exactly one point. If 2 planes intersect, then their intersection is a line. 12/14

13 41. Line j and Line g intersect at point T. * A line contains at least 2 points. A plane contains at least 3 points not on the same line. If 2 points lie in a plane, then the entire line containing those points lies in that plane. If 2 lines intersect, then their intersection is exactly one point. If 2 planes intersect, then their intersection is a line. 42. Points M, P, and Q are coplanar. * A line contains at least 2 points. A plane contains at least 3 points not on the same line. If 2 points lie in a plane, then the entire line containing those points lies in that plane. If 2 lines intersect, then their intersection is exactly one point. If 2 planes intersect, then their intersection is a line. 13/14

14 43. Line RN lies in Plane S. * A line contains at least 2 points. A plane contains at least 3 points not on the same line. If 2 points lie in a plane, then the entire line containing those points lies in that plane. If 2 lines intersect, then their intersection is exactly one point. If 2 planes intersect, then their intersection is a line. 44. First Name 45. Last Name Powered by 14/14