Question: 1. (8pts) Give a Hilbert Construction on how to construct a line perpendicular to a given line f through a given point A, where A

1. (8pts) Give a Hilbert Construction on how to construct a line perpendicular to a given line f through a given point A, where A is on the line f. [1,11] 2. (8pts) Give a Hilbert Construction on how to construct a line parallel to a given line f through a given point A, where A is not on the line f. [1,31] 3. (8pts) Give a Hilbert proof that shows why your construction from question 1 will work in any Hilbert plane. 4. (8pts) Given a quadrilateral ABCD, where AB = CD and AC = BD. Proof that AB | | CD in any Hilbert plane. 5. (8pts) For the construction and proof of [IV,2], do either the Circle-Circle Continuity Principle (E) or Playfair's Axiom (P) need to be satisfied in the Hilbert plane where you're working

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