Answer :
Using the midpoint concept, the coordinates of the other end point of the segment GH are: (3,12).
What is the mid-point concept?
The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates of the endpoints.
For this problem, we have that:
- The endpoints are (5,-6) and (x,y).
- The midpoint is (4,3).
Hence, applying the mean of the coordinates of x:
4 = (5 + x)/2
5 + x = 8
x = 3.
Hence, applying the mean of the coordinates of y:
3 = (-6 + y)/2
-6 + y = 6
y = 12.
Hence the coordinates of the other end point of the segment GH are: (3,12).
More can be learned about the midpoint concept at https://brainly.com/question/26311377
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