Coordinate Geometry Mind Map

The distance formula gives the straight-line distance between two points on the coordinate plane.

Write the coordinates in the correct order first, then use the formula carefully. The sign will not matter after squaring, but the coordinates must still be read correctly.

This concept means finding the exact separation between any two points on the coordinate plane.

First check whether the points are on the same horizontal or vertical line. That can save time and reduce calculation errors.

The midpoint is the point exactly halfway between two endpoints of a segment.

Midpoint means average, not subtraction and not a distance calculation.

This concept tells where a point lies when it divides a line segment in a given ratio.

Write the ratio carefully as AP:PB = m:n before substituting into the formula. A small ratio means the point is nearer to that endpoint.