The Midpoint Formula — Cheat sheet

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The formula

$M\left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)$ - averages of the coordinates.

Situation	Move
Recover an endpoint	double the midpoint, subtract the known endpoint: $x_2 = 2x_0 - x_1$
Midpoint at origin	coordinate pairs sum to zero (symmetric points)
Median of a triangle	midpoint of the opposite side, then the distance formula
Halfway to origin	halve both coordinates