Math 1312 Practice Final - Spring 2016 1. If an interior angle of a regular polygon measures , find the expression for the exterior angle. (A) (B) (180 ) (C) (90 ) (D) (360 ) (E) None of the above 2. Refer to the triangle below to find the value of . Write your answer in the simplest radical form. 60 5 30 x (A) 5 (B) 10 (C) 53 (D) 52 (E) None of the above 3. Which of the following triples cannot represent the lengths of the sides of a triangle. I. 5, 13, and 12 II. 5, 7, and 2 III. 4, 9, and 5 (A) I and II only (B) I and III only (C) II and III only (D) II only (E) None of the above 4. Bob measured the longest side of three right triangles. He concluded that the longest side is always opposite the right angle. Is this an example of inductive or deductive reasoning? (A) Inductive (B) Deductive (C) Both deductive and inductive (D) Neither deductive nor inductive 5. What angle is supplementary to 1 c a b d 2 3 1 5 4 (A) 2 (B) 3 (C) 4 (D) 5 (E) None of the above 6. Which of the following determines both the size and the shape of a triangle? I. The measures of three angles II. The measures of two angles and of one side III. The lengths of the base and the altitude (A) I only (B) II only (C) III only (D) I and II only (E) II and III only 7. Find , if and = 23 . (A) 67 (B) 23 (C) 113 (D) 77 (E) None of the above 8. Two complementary angles are in ration 7 to 8. What is the measure of the larger angle? (A) 90 (D) 70 (B) 42 (E) 80 (C) 48 9. Which statement best represents the relation between x, y, and z in the following triangle? y x z (A) + + = 180 (B) + = (C) + = (D) + = (E) + + = 90 10. The indirect proof of the statement \"Vertical angles are congruent\" begins with the assumption that (A) two angles are not vertical (B) two angles are vertical (C) two angles are not congruent (D) two angles are congruent 11. Using the following figure, find . (A) 52 (B) 54 (C) 53 (D) 66 12. Find the exact value of x. 45 14 x 45 (A) 7 (B) 142 (C) 72 (D) 28 (E) None of the above 13. Find given = 2, = 4, = 9, and > . (A) 1 (B) 89 (C) 5 (D) 8 (E) 7 14. Find the ratio of the areas of two similar polygons if the ratio of their perimeters is 49. (A) 1681 (B) 49 (C) 23 (D) 94 (E) None of the above 15. Given = 5, = 3, find . (A) 7.5 (B) 26 (C) 46 (D) 24 (E) 12 16. Find the exact circumference of a circle whose area is 9. (A) 3 (B) 4.5 (C) 6 (D) 9 (E) None of the above 17. If a triangle is equilateral, then it is isosceles. (A) True (B) False 18. In triangle , an exterior angle at measures 130 and = 60 . Which is the longest side of the triangle? (A) (B) (C)