SOLUTION: In the coordinate plane, the points F(-2,1), G(1,4), and H(4,1) lie on a circle with center P. What are the coordinates of point P? Choices: (A) (0,0) (B) (1,1) (C) (1,2)

Question 100331: In the coordinate plane, the points F(-2,1), G(1,4), and H(4,1) lie on a circle with center P. What are the coordinates of point P?
Choices:
(A) (0,0)
(B) (1,1)
(C) (1,2)
(D) (1,-2)
(E) (2.5, 2.5)
Please show me how to solve this equation.
Thank You very much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In the coordinate plane, the points F(-2,1), G(1,4), and H(4,1) lie on a circle with center P. What are the coordinates of point P?
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Procedure:
Find the equation of the perpendicular-bisector of line segment FG.
Find the equation of the perpendicular-bisector of line segment GH.
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Find the intersection of those two equations.
That is the center of the circle.
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Cheers,
Stan H.
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