Geometry Proof

Prove that line segment AB= line segment BA for any distinct points A and B in a metric geometry.

Betweenness and Elementary Figures

Let A = (x1,y1), B = (x2,y2), and C = (x,y) be three collinear points in the Euclidean Plane with x1

Betweenness and Elemetary Figures

If A=(4,7), B=(1,1), and C = (2,3) prove that A-C-B in the Taxicab Plane. Please help me to understand.

Plane Separation

If a set of points P1 and a set of points P2 are convex subsets of a metric geometry, prove that P1 intersects P2 is convex.

Plane Separation

If H1 is a half plane determined by the line l, prove that H1 has at least 3 noncollinear points. I need to understand this.