Test 24 Chapter 6 Test Answers Directions: Write answers in the spaces provided. 2. (3) For Questions 1-6, identify each statement as the converse, inverse, or confrapositive of the given conditional. If the weather is clear, then the launch will be held. 1. If the weather is not clear, then the launch will not be held. 5. (3) 2. If the launch will be held, then the weather is clear. 3. If the launch will not be held, then the weather is not clear. If a triangle is equilateral, then it is isosceles. 4. If a triangle is not isosceles, then it is not equilateral. 5. If a triangle is isosceles, then it is equilateral. 6. If a triangle is not equilateral, then it is not isosceles. Accept the given statement as true. What can you conclude by using the given statement together with each additional statement! If no conclusion (3) is possible, write no conclusion. If the Crawdads play, then the part will be a success. 10 7. The Crawdads did not play. 8. The party was a success. 9. The party was a failure 11. (See question) 43 10. The Crawdads played. 12. (Scc question) Draw a Venn diagram to represent cach statement be ow 13. 11. If a car is new, then it has 12. Every square is a 14. seat belts. quadrilateral 15 13. Write the letters (A)-(D) in an order that completes the indirect proof of the statement: If x - 3 = 7, then x * 5. (A) But this contradicts the given fact that x -- 3 = 7. (B) Then x - 3 = 2. (C) Thus the temporary assumption is false and I # 5 (D) Assume temporarily that x - 5. 62 22 21 14. List the angles of AABC in order from largest to smallest. C 15. List the sides of ADEF in order 23 from longest to shortest. Question 14 Question 15Test 24 (continued) Answers In Questions 16-20, classify each statement as true or false. 16. 16. In an isosceles triangle. if the base is longer than either leg. then 17. the measure of each base angle is greater than the measure of the veriex angle. 18 131 17. The sum of the lengths of two sides of a triangle is greater than the 19 length of the third side. 20. (3) 18. The shortest segment from a point to a line is the perpendicular segment from the point to the line. 21 (3) 19. The sum of the lengths of the diagonals of a rhombus is less than 12. 2. (1) its perimeter. 20. If two isosceles triangles have congruent legs but noncongruent bases. then the triangle with the longer base has the smaller base 13. a. (4) angles 14} 21. The lengths of two sides of a wrangle are 4 and 9 The length of the third side must be greater than .'. but less than _ 34. 6. (4) 23. 1s as possible for a triangle to have sides with the lengths indicated? b. a. 10. 5, 4 b. 9. 6. 8 25. Isee proof 13. Which segment is longer.' 24. Which angle is larger" a. AB of BC a. LJKA or & LKA b. AB or AD b. LALK or LAIKL A 43 Challenge (Optional) 1.5 Find the shortest segment in the figure. 25. Write a two-column proof. Given. AB 2 AC 64 Prove: m LB > m LD 57