MATH N 223 Take home Quiz

 MATH N 223 TAKE HOME QUIZ # 1
   (to be submitted on November 30, 2010)

 Solve all problems in a yellow pad.

 1. The center of a circle is at (2, -5) and one point on the circle is
    (-4, 2). Determine the other end of the diameter through (-4, 2).

 2. The three vertices of a parallelogram are (1, -3), (-3, -1) and
    (3, 5). Determine the fourth vertex.

 3. The segment from (-1, 4) to (2, -2) is extended three times its
    own length. Determine the terminal point.

 4. The segment from (-2, -3) and (6, 1) is extended each way a distance
     equal to one-fourth its own length. Determine the terminal points.
 
 5. Show that the points (4, 0), (2, 1) and (-1, -5) are vertices of a
     right triangle and find its area.

 6. The segment joining (2, -4) and (9, 3) is divided into two segments,
     One of which is three-fourths as long as the other. Determine the
     Points of division.
 
 7. Find the radius of a circle with center at (-2, 1), if a chord of
     length 10 is bisected at (-3, 0).

 8. Locate the point which is equidistant from (-3, 0) and (1, 4)
     and at a distance 5 from (-1, 7).

 9. Determine the midpoint of the segment joining (5, 6) and
      (7, -12).

10. The segment joining (20, 16) and (-20, -16) is to be divided
       into four equal parts. Determine the points of division.