Mathematics Concepts 2 Exam 1 Version 2 22 September 2017
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1 Mathematics Concepts 2 Exam 1 Version 2 22 September 2017 Name: Permissible Aides: The small ruler distributed by the proctor Prohibited: Class Notes Class Handouts Study Guides and Materials The Book Any Electronics (including calculators and phones) Other People s Exams Page: Total Points: Score:
2 MATH 202 Exam 1, Page 2 of September 2017 Instructions Be sure to read each problem s directions. If you are caught cheating on the exam, you will be given a 0 for a grade. Place a after your name on the cover page to receive 2 points extra credit. Write clearly during the exam and fully erase or mark out anything you do not want graded. You must show all your work to receive full credit unless otherwise stated. out of a possible 0 points
3 MATH 202 Exam 1, Page 3 of September 2017 Multiple Choice 1. For the following multiple choice questions, you must write the letter corresponding to the correct answer in the blank space provided on the right side of the exam. Markings on the question itself will not be given any credit. You do not have to show any work for the multiple choice parts. (a) (5 points) An example of a figure that is not a polygon is a: A. circle B. square C. decagon D. nonagon (a) (b) (5 points) Due to Euler s formula, a polyhedra with 14 vertices and 10 faces must have this many edges. A. 6 B. 22 C. 26 D. 24 (b) (c) (5 points) Which of the following descriptions is not possible? A. concave triangle B. regular heptagon C. hexagonal prism D. oblique cylinder (c) (d) (5 points) Which of the below polyhedra is regular? A. Hexahedron B. Icosahedron C. triangular prism D. quadrilateral pyramid (d) (e) (5 points) Which quadrilateral may have zero pairs of parallel sides? A. Kite B. Parallelogram C. Rhombus D. Trapezoid (e) out of a possible 25 points
4 MATH 202 Exam 1, Page 4 of September 2017 Computation and Techniques 2. (15 points) Today is the day of your first MATH 202 exam and you expect to earn an A. To help you manage your time, you imagine a clock on the front wall. What is the non-reflexive angle between the hour and minute hands of the clock at 9 : 40pm? out of a possible 15 points
5 MATH 202 Exam 1, Page 5 of September (15 points) If a regular n-gon has interior angles each measuring 174, what is n? In other words, how many sides does the regular polygon have? out of a possible 15 points
6 MATH 202 Exam 1, Page 6 of September 2017 Y Z X Figure 1: Diagram Reading 4. For this question, consider the associated diagram labelled figure 1. (a) (10 points) Determine the measure of angle X. (b) (10 points) Determine the measure of angle Z. (c) (5 points) What is the term that describes the relationship between angle X and the angle with measure 150? out of a possible 25 points
7 MATH 202 Exam 1, Page 7 of September 2017 l A B Figure 2: m 5. For this question, consider the associated diagram labelled figure 2. Assume that lines l and m are parallel. (a) (10 points) What is the angle measure of angle A? (b) (10 points) What is the angle measure of angle B? (c) (5 points) State the theorem (not just the name but also what the theorem actually says) that allows you to solve for the measure of angle B. out of a possible 25 points
8 MATH 202 Exam 1, Page 8 of September 2017 Drawings 6. Bexley has entered an art contest and asked for your help. Draw Bexley the requested figures below. (a) (5 points) A concave hexagon. (b) (5 points) A rhombus that is not a rectangle. (c) (5 points) A simple, non-closed figure. out of a possible 15 points
9 MATH 202 Exam 1, Page 9 of September (10 points) Draw an Octahedron and its accompanying Net Diagram. Use dashed lines for any hidden edges in the 3D diagram. 8. (10 points) Draw the stack of cubes represented by the isometric drawing below out of a possible 20 points
10 MATH 202 Exam 1, Page 10 of September 2017 Writing 9. (10 points) In a paragraph, explain the differences between triangulating a polygon by drawing diagonals between different vertices and triangulating a polygon by fixing a center point in the interior and then connecting it to every vertex. Then discuss how each process can be used to show that the sum of the angle measures of any n-gon is (n 2) 180. out of a possible 10 points
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