1. Choose the corresponding Greek letter name from the answer list in the right hand column: 
    1. _____ θ

       
    2. _____ β

       
    3. _____ γ

       
    4. _____ α

       
    5. _____ π

       
    6. _____ φ
    		 
    1. gamma

       
    2. beta

       
    3. theta

       
    4. pi

       
    5. phi

       
    6. alpha

       
      7.
     
  2. Choose the corresponding degree measure from the answer list in the right hand column.  Note that some answers may be used more than once while some may not be used... 
    1. _____ Right angle measure

       
    2. _____ Sum of 2 supplementary angle measures

       
    3. _____ Sum of the 3 interior angle measures
                  for a triangle

       
    4. _____ Angle measure of one revolution

       
    5. _____ Sum of 2 complementary angle measures

       
    6. _____ Straight angle measure

       
    7. _____ Measure of any one interior angle
                  for an equilateral triangle

       
    8. _____ Sum of the 4 interior angle measures
                  for a rectangle
    		 
    1. 0°

       
    2. 30°

       
    3. 45°

       
    4. 60°

       
    5. 90°

       
    6. 120°

       
    7. 180°

       
    8. 360°
       

     
  3. Choose the most appropriate answer: 
    1. Vertical angles are ____________ equal.
      1. seldom
      2. always
      1. never
      2. usually
    2. If α and β represent a pair of complementary angles, then the measure of α must be greater than _____ degrees but less than _____ degrees.
      1. 0, 45
      2. 0, 90
      1. 0, 135
      2. 0, 180
    3. If α and β represent a pair of supplementary angles, then the measure of β must be greater than _____ degrees but less than _____ degrees.
      1. 0, 45
      2. 0, 90
      1. 0, 135
      2. 0, 180

     
  4. Choose the most appropriate answer:  
    1. One degree (1°) is equal to _______minute(s).
      1. 1/60
      2. 1
      1. 60
      2. 3600
    2. One minute (1' ) is equal to _______second(s).
      1. 1/60
      2. 1
      1. 60
      2. 3600
    3. One degree (1°) is equal to _______second(s).
      1. 1/3600
      2. 1/60
      1. 60
      2. 3600

     
  5. Convert each of the following decimal degree measures to DMS measure (i.e., _____° _____' _____").
    a.  36.25° c.  120.375°
    b.  48.8° d.  15.18°

     
  6. Convert each of the following DMS measures to decimal degree measure.  When appropriate, round to the nearest thousandth.
    a.  23° 30' d.  89° 0'  36"
    b.  290° 36' e.  45° 45'  45"
    c.  21° 21' f.  0° 18'  18"

     
  7. Convert each of the following decimal degree measures to radians.  When appropriate, round to the nearest hundredth.
    a.  30° c.  0.5°
    b.  11.25° d.  57.3°

     
  8. Convert each of the following radian measures to decimal degrees.  When appropriate, round to the nearest tenth.
    a.  π /4 c.  1
    b.  π /2 d.  1.3

     
  9. Convert each of the following radian measures to DMS.
    a.  π /16 c.  1
    b.  3π /32 d.  0.5

     
  10. Convert each of the following DMS measures to radians.
    a.  66° 30' b.  19° 42'  30"

    Arc Length illustration (Exercises 11-13)


    Refer to the illustration (shown at
    right) for Exercises 11-13 (below)...
     
  11. Determine the arc length (s) along the edge of a circle with radius r and which is subtended by a central angle angle θ:
    1. r = 10 cm  and  θ = 1 
    2. r = 1 7/8 ft  and  θ = 45°
    3. r = 3960 mi  and  θ = 1'

     
  12. Determine the length of a circle's radius (r) where an arc length s along the edge is subtended by a central angle θ:
    1. s = 2 in  and  θ =  π/6
    2. s = 1.609 km  and  θ = 30°
    3. s = 3 3/16 yd  and  θ = 20°15'

     
  13. Determine the measure of the central angle (θ) subtending an arc length s along the edge of a circle with radius r:
    1. s = 25.4 mm  and  r = 6.35 mm           (answer in radians) 
    2. s = 2 ft  and  r = 6 in              (answer in decimal degrees)
    3. s = 1/20 m  and  r = 10 cm             (answer in DMS)

     
  14. Identify the name for each of the following polygons: 
      Exercise 14a
       
    1. ____________
      Exercise 14b
       
    2. ____________
      Exercise 14c
       
    3. ____________
      Exercise 14d
       
    4. ____________
      Exercise 14e
       
    5. ____________
       

     
  15. Choose the most appropriate answer: 
    1. Every "n-sided" polygon has __________ interior angles.
      1. n
      2. n + 1
      1. n - 1
      2. n π
    2. In any "regular" polygon __________ of the interior angles are congruent (i.e., equal in measure).
      1. none
      2. two
      1. all
      2. none of the above
    3. Which of the following polygons is NOT a quadrilateral?
      1. trapezoid
      2. square
      1. pentagon
      2. rectangle

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