Question 1171360: The mid-point and one end of a line segment are (3,7) and (4,2) respectively.Find the other end point.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
mid-point = (3,7); one endpoint = (4,2).
Imagine that the two given point are plotted in a coordinate plane with axes "x" and "y".
Then you go 1 unit along the x-axis in the negative direction (1 = 4-3) from the given endpoint to the center.
Obviously, you should go one additional unit along x-axis in the negative direction to get the other endpoint.
So, x-coordinate of the other endpoint is 3-1 = 2.
Similarly with the y-coordinate.
You go 5 units along the y-axis in the positive direction (5 = 7 - 2) from the given endpoint to the center.
Obviously, you should go 5 additional units along x-axis in the positive direction to get the other endpoint.
So, y-coordinate of the other endpoint is 7+5 = 12.
ANSWER. The other midpoint is (2,12).
Solved, answered and explained. And completed.
Answer by josgarithmetic(39617)  (Show Source):
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