Answer :

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] G(-2, 5) = (x_1, y_1) [/tex]

[tex] H(4, 1) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{-2 + 4}{2}, \frac{5 + 1}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{6}{2}) [/tex]

[tex] M(1, 3) [/tex]

Coordinates of the midpoint of GH = (1, 3).

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