COMPUTATIONAL GEOMETRY, COMP 163, HOMEWORK 2 – Due: Monday, October 12. – Feedback on your work will be given asap after the due date. To ensure better and more timely feedback, I recommend submitting your answers by noon on Sunday the 11th. Assume general position. 1. Prove or disprove that for every triangulation of n points, there exists an edge that is the base of two triangles whose union forms a convex quadrilateral. Assume general position, and n > 4. 2. Prove that every point x on the boundary of a non-convex polygon P sees a reflex vertex of P . You can first assume that x is a vertex of P and then argue why it doesn’t matter.