Midpoint of a line segment

The midpoint

Point $S$ is the midpoint of the line segment $AB$ when it lies on the segment and $|AS| = |BS|$. Its coordinates are the averages of the endpoints’ coordinates:

function midpoint(a: Point, b: Point): Point {
	return { x: (a.x + b.x) / 2, y: (a.y + b.y) / 2 };
}

function midpoint(a, b) {
	return { x: (a.x + b.x) / 2, y: (a.y + b.y) / 2 };
}

def midpoint(a: Point, b: Point) -> Point:
    return Point((a.x + b.x) / 2, (a.y + b.y) / 2)

midpoint

time O(1) space O(1)

Where it’s useful

The midpoint is handy whenever you need the point halfway between two things, like aiming a camera between two players, or putting a hit effect between two objects that bumped into each other. It’s also the centre of a segment, which the chapter on line segments comes back to.