Coordinate Geometry: Midpoint and Distance

Midpoint of (x_1, y_1) and (x_2, y_2): [formula] Distance between two points: [formula] The distance formula IS the Pythagorean theorem applied to coordinates.

Example: Find the midpoint and distance between (2, 3) and (8, 11).

If the ACT asks for the midpoint, it's just averaging the coordinates. If it gives you a midpoint and one endpoint and asks for the other, set up: frac{x_1 + x_2}{2} = M_x and solve.