Point A is located at (1,5). The midpoint of line segment AB is point C (2,3).
What are the coordinates of point B?
The xcoordinate of the midpoint is found by adding the xcoordinates of the endpoints
together, and dividing by 2. (1,5) is the given endpoint and (2,3) is the midpoint 2 = (1 + x)/2 4 = 1 + x {multiplied each side by 2} x = 5 {added 1 to each side} 5 is the xcoordinate of the other endpoint The ycoordinate of the midpoint is found by adding the ycoordinates of the endpoints together, and dividing by 2. (1,5) is the given endpoint and (2,3) is the midpoint 3 = (5 + y)/2 6 = 5 + y {multiplied each side by 2} y = 11 {added 5 to each side} 11 is the ycoordinate of the other endpoint The other endpoint is (5,11) Ask the House
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