Point A is located at ( 1 , 5 ). The midpoint of segment AB is point C at ( 2 , 3 ).
What are the coordinates of point B?
The xcoordinate of the midpoint is (x1 + x2)/2 {x1 and x2 are the xcoordinates of the endpoints}
2 = (1 + x2)/2 {substituted 2 in for xcoordinate of the midpoint and 1 in for xcoordinate of endpoint} 4 = 1 + x2 {multiplied each side by 2} 5 = x2 {added 1 to each side} The xcoordinate of the other endpoint is 5. The ycoordinate of the midpoint is (y1 + y2)/2 {y1 and y2 are the ycoordinates of the endpoints} 3 = (5 + y2)/2 {substituted 3 in for ycoordinate of midpoint and 5 in for ycoordinate of endpoint} 6 = 5 + y2 {multiplied each side by 2} 11 = y2 {added 5 to each side} The ycoordinate of the other endpoint is 11. The coordinates of B are (5,11) Ask the House
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