1. I need to see a construction and proof. Given a quadrilateral EFGH so that all four sides are congruent to a circle. Prove that EF+GH=EH+FG
2. Prove that a perpendicular bisector of a chord in a circle is a diameter.
Construction and Geometry Proofs are provided. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.