(1+ V5) [14] The mumber rectangle whose sides are in this ratio is called a golden rectangle. With a straight edge and a compass, construct a golden rectangle. was called by Greeks the Golden Ratio, and a [3] Consider the following axiom system: Axiom 1 There exists five points. Axiom 2 Each two distinct points have exactly one line on both of them. Axiom 3 Each line contains exactly two points. i. Construct a model of the system. ii. Show that there exists exactly 10 lines. iii. Show that each point has exactly 4 lines through it. [12] With a straight edge and a compass, construct a hexagon.