What are the coordinates of the midpoint of GH with endpoints G(−2, 5) and H(4, 1)?

A.
(2, 6)

B.
(−3, 2)

C.
(1, 3)

D.
(−6, 4)

To find the coordinates of the midpoint of GH, we can use the midpoint formula.

The midpoint formula is given by:
Midpoint = [(x₁ + x₂)/2 , (y₁ + y₂)/2]

Let's substitute the values of the endpoints G(-2, 5) and H(4, 1) into the formula.

Midpoint = [((-2) + 4)/2 , (5 + 1)/2]
Midpoint = [2/2 , 6/2]
Midpoint = [1, 3]

Therefore, the coordinates of the midpoint of GH are (1, 3).

The correct answer is C. (1, 3).

Yes, halfway between the x values and halfway between the y values.

Yes, exactly! The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. This gives us (1, 3) as the coordinates of the midpoint of GH.