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Name _________________________________________ CHAPTER 2 Date ____________________ Chapter Test B For use after the chapter “Reasoning and Proof” 1. Sketch the fourth figure in the pattern below. Answers 1. _____________ 2. _____________ 3. _____________ 2. Write the next three numbers in the pattern. 0, 1, 3, 6, . . . Find a counterexample to disprove the conjecture. 4. _____________ 5. _____________ 6. _____________ 3. All intersecting planes form right angles. 4. The value of x3 is always greater than the value of x. 5. Regular polygons always have an even number of sides. For the statement “Band members are musicians.”, determine if each statement is true or false. 6. If you are not a musician, then you are not a band member. 7. _____________ 8. _____________ 9. _____________ 10. _____________ _____________ 7. If you are a musician, then you are a band member. Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. 8. If you are not a band member, then you are not a musician. 9. If you are a band member, then you are a musician. 10. Rewrite the statements as a biconditional. _____________ _____________ 11. _____________ If Chris is elected class president, then he has the most votes. 12. _____________ If Chris has the most votes, then he will be elected class president. 13. _____________ Label the following planes and points appropriately on the diagram. 14. _____________ 11. Label the vertical plane as A and the horizontal plane as B. 12. Draw two points X and Y on the diagram so they lie in plane A, but not in plane B. 13. Draw point Z on the diagram so it lies in both plane A and plane B. 14. Plot points Q and R on the diagram so that QR is the intersection of plane A and plane B. Geometry Assessment Book _________________________________________ CHAPTER 2 Date ____________________ Chapter Test B continued For use after the chapter “Reasoning and Proof” What conclusions can you make using the true statement? Answers 15. If the light is on, then someone is home. The light is on. 15. _____________ 16. The Liberty Bell is located in Philadelphia, Pennsylvania. Rob has never been in Pennsylvania. Solve the equation and write a reason for each step. 17. 6(x + 4) = 60 18. Original equation _____________ 16. _____________ _____________ ______________ Distributive Property 17. _____________ ______________ ______________________ 18. _____________ ______________ ______________________ 1 (–x – 8) = 45 4 ______________ Original equation Distributive Property ______________ ______________________ ____________ ______________________ Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Name Chapter Test B 1. 3. 2. 10, 15, 21 4. Sample answer: x = –2 5. Sample answer: regular pentagon 6. true 7. false 8. false 9. true 10. Chris will be elected class president if and only if he has the most votes. 11-14. 15. Someone is home. 16. Rob has never seen the Liberty Bell. 17. 6x + 24 = 60 6x = 36; Subtraction Property of Equality x = 6; Division Property of Equality 1 18. – x – 2 = 45 4 1 – x = 47; Addition Property of Equality 4 x = –188; Multiplication Property of Equality