©Zarestky Math 366 Quiz 1 Version A 9/8/2009 NAME:_______KEY_________________________________ For full credit, show all steps and justify your work. 1. (2 pts) A. Convert to a decimal: 51° 12′ 51! + 12 = 51.2! 60 B. Convert to degrees, minutes, and seconds: 16.45° 16.45° = 16! + 2. 45 !60 = 16! 27" 100 (2 pts) Sketch the possible intersections of 5 lines in 4 points. Answers may vary. Possible answer: 3. (6 pts) Determine if each of the following statements is true or false. Circle your answer and explain your reasoning. You may wish to include a sketch as part of your answer. Explanations may vary. Possible answers are given. A. A scalene triangle can be acute. TRUE FALSE A scalene triangle has no congruent sides. An acute triangle has all acute angles. It is possible for a single triangle to meet both criteria. B. An isosceles triangle can be equilateral. TRUE FALSE An isosceles triangle has at least two congruent sides, so an isosceles triangle with three congruent sides is isosceles and equilateral. C. A right triangle can be obtuse. TRUE FALSE A triangle cannot be both right and obtuse because the sum of the interior angles must be 180°. He sum of a right angle and an obtuse angle is greater than 180°. D. All equilateral triangles are acute. TRUE FALSE An equilateral triangle has three congruent sides and three congruent angles each measuring 60° which is less than 90° and consequently acute.