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Question 133067: AB IS THE DIAMETER OF THE CIRCLE WHOSE CENTER IS O .IF THE COORDINATES OF O ARE (2,1) AND THE COORDINATES OF B (4,6). WHAT ARE THE COORDINATES OF A . PLEASE SEND ME ANSWER
Answer by cngriffith(27)   (Show Source):
You can put this solution on YOUR website! AB IS THE DIAMETER OF THE CIRCLE WHOSE CENTER IS O .IF THE COORDINATES OF O ARE (2,1) AND THE COORDINATES OF B (4,6). WHAT ARE THE COORDINATES OF A . PLEASE SEND ME ANSWER
O is the center of the circle. The diameter is a segment with endpoints A and B. This makes O the midpoint of segment AB. The Midpoint formula is:
M=(X1 +X2)/2, (Y1 +Y2)/2
You are given the coordinates of the midpoint and one endpoint. Adapt the formula:
X coordinate of Midpoint=(X1 +X2)/2, Y coordinate of Midpoint=(Y1 +Y2)/2
Substitute the numbers:
2=(X+4)/2 , 1=(Y+6)/2 Now solve each equation to find the X and Y coordinates of point A.
2=(X+4)/2 , 1=(Y+6)/2
cross multiply 4=X+4 , 2=Y+6 cross multiply
X=0 , Y=-4
A( 0,-4)
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