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Final Exam Review – Chapters 5-8 Name ____________________________ CHAPTER 5 Find the value of x. 1. 2. List the angles of each from smallest to largest. 3. 4. 5. During lunch, Juan was making triangles with some straws. If he has a 3-in. straw and a 4-in. straw, which straw can he not use to form a triangle? A. 5-in. straw B. 4-in. straw C. 7-in. straw D. 6-in. straw 6. Two sides of a triangle have lengths of 12 and 18. The length of the third side can be any number between __?__ and __?__. 7. In the figure below, which segment is the longest? Find the value of x. 8. 9. 10. CHAPTER 6 Find QV in each parallelogram. 1. 2. 3. Find the values of the variables for each figure. 4. 5. 6. Find the measures of 1 and 2 . 7. 8. 9. Determine the most precise name of quadrilateral ABCD from the information given. 10. 11. 12. parallelogram ABCD with 13. and CHAPTER 7 Solve each proportion for x. 1. 2. 3. 4. Are the triangles similar? If so, write the similarity statement, and name the postulate or theorem that you can use to prove they are similar. If not, write not similar. 5. 6. 7. 8. A man 6 ft tall casts a shadow 4 ft long. At the same time, a building casts a shadow 20 ft long. How tall is the building? 9. Find the geometric mean of 3 and 27. Find the value of x. 10. 11. 12. Find the values of the variables. 13. 14. CHAPTER 8 The lengths of three sides of a triangle are given. Describe each triangle as acute, right, or obtuse. 1. 14, 48, 50 2. 6, 7, 9 3. Find the values of the variables. Leave your answers in simplest radical form. 4. 5. 6. Express sin A, cos A, and tan A as ratios. 8. 9. Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree. 10. 11. 12. 13. A surveyor measures the top of a building 50 ft away from him. His angle-measuring device is 4 ft above ground. The angle of elevation to the top of the building is . How tall is the building?