What is the midpoint of a line segment?

The midpoint of a segment is a point that divides a segment (a set that consists of two points located on a straight line (ends of the segment) and points that lie between them) into two equal parts. The ends of a segment and its middle are usually denoted by Latin letters: A and B are the ends, C is the middle, C and D are the ends, E is the middle, etc.

Knowing the coordinates of the end and the beginning of the segment, you can calculate the coordinates of its midpoint.

Let the ends of the segment AB have coordinates A (x₁; y₁) and B (x₂; y₂). Then the coordinates of the middle of the segment will be equal:

x = (x₁ + x₂) / 2;

y = (y₁ + y₂) / 2.

Knowing the coordinates of the end and the beginning of the line, you can also calculate the distance that separates the midpoint of the line from its ends. To do this, you need to calculate the length of the segment using the formula:

| AB | = √ ((x₁ – x₂) ² + (y₁ – y₂) ²), and then divide this length by 2.