Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).
The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.
In this problem, we have that:
Hence the coordinates of H are found as follows:
[tex]-41 = \frac{10 + x}{2}[/tex]
10 + x = -82.
x = -92.
[tex]23 = \frac{10 + y}{2}[/tex]
10 + y = 46.
y = 46.
More can be learned about the mid-point concept at https://brainly.com/question/10956693
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