Chapters Q1 Exam Practice Test
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1 Chapters Q1 Exam Practice Test Use the diagram to answer the following question(s). 1. What is another name for? L C E 2. What is another name for? O J 3. The figure below is a rectangular shipping box. Name two different planes that contain. B C A D F G E H a. plane BEF, plane ADH c. plane EFG, plane CGD b. plane EFG, plane BEF d. plane ADH, plane CGD 4. Measure the length of to the nearest tenth of a centimeter. M N a. 7.2 cm c. 3.2 cm b. 3.7 cm d. 7.7 cm 5. Identify the segment bisector of. Then find BM. 2x x + 27 A M B a. ; c. ; BM = 39 b. ; d. ;
2 6. The endpoints of are and. Find the coordinates of the midpoint M. 7. The midpoint of is. One endpoint is. Find the coordinates of endpoint G. 8. On a coordinate grid, your campsite is located at, and the next checkpoint station is located at. Each unit in the coordinate plane represents 2.3 miles. Find the distance you have to hike to reach the next checkpoint station. a. mi c. mi b. mi d. mi 9. Find the perimeter of with vertices,, and. a. 30 units c. about units b. about 17.5 units d. about units 10. In the diagram,. Find. B C (3x + 37) D (2x + 43) A a. 80 c. 73 b. 67 d Find. B C ( 7x - 48) ( 8x - 27) D A a. 29 c. 83 b. 75 d. 61
3 12. In the diagram, bisects, and. Find. a. 106 c. 53 b. 74 d. 37 S T 13. is a complement of, and. Find. a. 127 c. 53 b. 37 d. 106 R Q 14. is a supplement of, and. Find. a. 54 c. 108 b. 126 d Find the values of x and y. a., c., b., d., (5y + 68) (3x + 18) (5x + 2) (3y + 96) 16. What is the negation of the statement? The store is crowded. a. The store is empty. b. The store is not crowded. 17. Let p be an animal is a dog and let q be an animal is a golden retriever. Write the conditional statement. Then decide whether it is true or false. a. If an animal is a golden retriever, then it is a dog; true b. If an animal is not a golden retriever, then it is not a dog; false c. If an animal is a dog, then it is a golden retriever; false d. If an animal is not a dog, then it is not a golden retriever; true 18. Let p be an animal is a dog and let q be an animal is a golden retriever. Write the converse. Then decide whether it is true or false. a. If an animal is a golden retriever, then it is a dog; true b. If an animal is not a golden retriever, then it is not a dog; false c. If an animal is a dog, then it is a golden retriever; false d. If an animal is not a dog, then it is not a golden retriever; true 19. Let p be an animal is a dog and let q be an animal is a golden retriever. Write the inverse. Then decide whether it is true or false. a. If an animal is a golden retriever, then it is a dog; true b. If an animal is not a golden retriever, then it is not a dog; false c. If an animal is a dog, then it is a golden retriever; false d. If an animal is not a dog, then it is not a golden retriever; true 20. Let p be an animal is a dog and let q be an animal is a golden retriever. Write the contrapositive. Then decide whether it is true or false. a. If an animal is a golden retriever, then it is a dog; true b. If an animal is not a golden retriever, then it is not a dog; false c. If an animal is a dog, then it is a golden retriever; false d. If an animal is not a dog, then it is not a golden retriever; true
4 Find a counterexample to disprove the conjecture. 21. Conjecture If m is a nonzero integer, then is always greater than 1. Use the Law of Detachment to determine what you can conclude from the given information, if possible. 22. If you get an A on the test, then you will get a sticker. You get an A on the test. a. You will get a sticker. b. not possible 23. If the roads are icy, then school will be closed. School is closed. a. The roads are icy. b. not possible Name the property that the statement illustrates. 24. a. Reflexive Property of Angle Congruence b. Transitive Property of Angle Congruence c. Symmetric Property of Angle Congruence 25. If and, then a. Reflexive Property of Segment Congruence b. Symmetric Property of Segment Congruence c. Transitive Property of Segment Congruence If possible, use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements. 26. If, then. If, then. a. If, then. c. If, then. b. If, then. d. not possible 27. If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has four right angles. a. If a figure is has four right angles, then it is a square. b. If a figure is a rectangle, then it is a square. c. If a figure is a square, then it has four right angles. d. not possible Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. Explain your reasoning. 28. Every day after school, your mom gives you a snack. So, when you get home from school today, you will get a snack. a. inductive reasoning; A pattern is used. c. deductive reasoning; A pattern is used. b. inductive reasoning; Facts are used. d. deductive reasoning; Facts are used.
5 29. Each time a player is late to practice, the coach makes the team run an extra lap. So, next time someone is late to practice, the team will run an extra lap. a. inductive reasoning; A pattern is used. c. deductive reasoning; A pattern is used. b. inductive reasoning; Facts are used. d. deductive reasoning; Facts are used. State the law of logic that is illustrated. 30. If you get an A on your math test, then you can choose where to go to dinner. If you can choose where to dinner, then you can go to your favorite restaurant. If you get an A on your math test, then you can go to your favorite restaurant. a. Law of Detachment b. Law of Syllogism Identify the numbered statement or reason in the two-column proof. Given Prove is a right angle. STATEMENTS REASONS 1. is a right angle. 1. Given Angle Addition Postulate Substitution Property of Equality Simplify Subtraction Property of Equality What is Reason 2? a. Given c. Definition of complementary angles b. Definition of a right angle d. Angle Addition Postulate 32. What is Statement 3? 33. What is Statement 6? 34. What is Reason 7? a. Division Property of Equality c. Addition Property of Equality b. Simplify. d. Symmetric Property of Equality
6 35. In the diagram,. Identify three numbered angles that have a measure of c d a.,, and c.,, and b.,, and d.,, and 36. Find the value of x that makes. (3 x + 3) j 129 k a. 44 c. 42 b. 46 d Given. Find the value of z that makes. j k (4 z + 3 y) a 57 x ( y + z) b a. z = 228 c. z = b. z = d. z = 48
7 38. In the diagram, Which statements about the diagram are true? a b c y x d a. The value of x is 41. b. The value of y is 20. c. by the Vertical Angles Congruence Theorem. d. by the Corresponding Angles Theorem. In the diagram, think of each segment in the figure as part of a line. 39. Name the line(s) through point B that appear skew to. b. and 40. Classify the pair of numbered angles. d. and a. corresponding c. alternate interior b. alternate exterior d. consecutive interior For everything where there are multiple things (like the types of angles above, p. 84 with all the postulates, etc Make sure you know all of them. Not just the one listed on this PT
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