SOLUTION: One radius of a circle has endpoints D(2,4) and E(-1,2).
a)Find a possible endpoint for the diameter that contains this radius.
b) Explain why there are two possible answers 
Algebra.Com
Question 596325:  One radius of a circle has endpoints D(2,4) and E(-1,2).
a)Find a possible endpoint for the diameter that contains this radius.
b) Explain why there are two possible answers in part a) 
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 One radius of a circle has endpoints D(2,4) and E(-1,2).
a)Find a possible endpoint for the diameter that contains this radius.
------------
Find the x & y differences separately 
dx = 3, dy = 2
=========
Add the differences to D and subtract from E
D --> F(5,6)
E --> G(-4,0)
F & G are the 2 possible points on the diameter.
-----------------
b) Explain why there are two possible answers in part a)
Either point, D or E, could be the center. 
RELATED QUESTIONS
one radius of a circle has endpoints D(2,4)and E(-1,2).
a) find a possible endpoint for... (answered by josgarithmetic,MathTherapy)
Find the equation of the circle for which a diameter has endpoints P1(-1, 4) and P2(-5,... (answered by richwmiller)
find the center and radius of a circle that has a diameter with endpoints (-4,-19) and... (answered by richard1234)
Find the standard equation of the circle that contains endpoints of a diameter at(2,-1)... (answered by josgarithmetic)
The center of a circle is (-4,7)and one endpoint of a diameter is (2,-1). What is the... (answered by longjonsilver)
Find the center and radius of a circle whose diameter has these endpoint (22,23)... (answered by solver91311)
Write the equation of the circle that has a diameter whose endpoints are located at... (answered by jojo14344)
The number of points on a circle that are equidistant from the endpoints of a
given... (answered by Theo,JBarnum)
A diameter of a circle has endpoints at (4, 6) and the origin. Which point is also on the  (answered by solver91311)