SAT Prep

Category - Math

Which point is the center of the circle circumscribed around the square in the figure below?
  1. (1/2,3/2)
  2. (-1/2,3/2)
  3. (1/2,-3/2)
  4. (3/2,1/2)
  5. (3/2,-1/2)
Explanation
Answer: A - The center of the circle circumscribed around the square is (1/2,3/2). The center of the circle is the midpoint of the diagonal AC of the square. Use the formula for the midpoint of the segment.
A(-2,5),C(3,-2)
x=(x_1+x_2)/2=(-2+3)/2=1/2
y=(y_1+y_2)/2=(5-2)/2=3/2
M(1/2,3/2)
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