SOLUTION: The mid-point and one end of a line segment are (3,7) and (4,2) respectively.Find the other end point.

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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): You can put this solution on YOUR website!
Using midpoint formula, other end point being (x,y)




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other endpoint is (2,12).
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