Question 1126048: Points (5, 2) and (8, –7) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point symmetric to C about the x-axis.
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website! given: Points ( ,  ) and ( ,  ) are endpoints of the diameter of a circle.
(a)
What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
since given points are endpoints of the diameter of a circle, the length of the diameter will be equal to the distance between these two points
use distance formula for (, ) and (, )
 approximately  ->
(b)
What is the center point  of the circle?
the center point of the circle will be midpoint line segment with given points as endpoints
( ,  )
=( ,  )
so, the center point of the circle is at (, )
(c)
Given the point you found in part (b), state the point symmetric to about the x-axis.
both given points are symmetric to about the x-axis
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