Line Segment Length and Midpoint Coordinates on the Coordinate Plane

This interactive example lets students drag the endpoints A and B on the coordinate plane to compute both the length of the segment AB and the coordinates of its midpoint M. It focuses on coordinate geometry ideas: midpoint determination using geometric construction, the underlying two-point distance concept for segment length, and using auxiliary lines to guide the reasoning. Construction highlights: a Segment is created for AB; LineBisector (perpendicular bisector of AB) is used to locate the midpoint; Intersect finds the intersection point(s) that identify M; OrthogonalLine generates perpendicular helper lines needed for consistent construction; Angle is employed to visualize and check relevant angular relationships during the workflow. Key objects include points A, B, M and several auxiliary points/lines and annotations (e.g., a, b, c, d, e, C, α, text1). Suitable for middle school through high school students for teaching and practicing coordinate geometry, midpoint formula applications, and distance between points.