Intuitive Coordinate Geometry

Derive the distance formula from the Pythagorean theorem applied to two points on the coordinate plane.

Apply the distance formula to calculate distances between points in various quadrants.

Derive the midpoint formula and apply it to find midpoints and missing endpoints of segments.

Use the distance and midpoint formulas to classify geometric shapes (e.g., right-angled, isosceles triangles) given their vertex coordinates.