Midpoint

The midpoint is the point that divides a line segment into two equal parts, located halfway between the endpoints.

The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Use the formula: Other endpoint = (2 * midpoint - given endpoint). For this case, it is (2*3 - (-1), 2*4 - 6) = (7, 2).

Endpoint = (2 * midpoint - other endpoint).

The midpoint is calculated as M = ((4 + (-6))/2, (12 + 14)/2) = (-1, 13).

Use the formula: Missing endpoint = (2 * midpoint - known endpoint). Here, it is (2 * (-2) - (-9), 2 * (-6) - (-1)) = (5, -11).

The midpoint helps in determining the center point of a line segment, which is useful in various geometric constructions and proofs.

Use the formula: Other endpoint = (2 * midpoint - given endpoint). Here, it is (2*7 - (-4), 2*(-9) - 5) = (18, 13).

The coordinates of the midpoint are the averages of the corresponding coordinates of the endpoints.

Check if the distances from the midpoint to each endpoint are equal.