Key Concepts: Distance and Midpoints

Distance Formula

The distance between two points (x₁, y₁) and (x₂, y₂) in the coordinate Plane is:

d = √[(x₂ − x₁)² + (y₂ − y₁)²]

This formula comes from the Pythagorean Theorem.

Midpoint

The midpoint of a segment is the Point that divides the segment into two congruent parts.

Midpoint Formula

The midpoint M of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Segment Bisector

A segment bisector is any segment, Line, or ray that passes through the midpoint of a segment, dividing it into two congruent halves.