point p is on line l if and only if point l∗is on line p∗. 1. Using the property above, prove the following properties: (a) If n points p1, ..., pnare on a common line l, then p∗1, p∗2, ..., p∗nintersect at a common point l∗. (b) If n lines l1, ..., lnintersect at a common point p, then l∗1, l∗2, ..., l∗nare on a common line p∗. 2. If we have a line segment s connecting two points p1 and p2, describe a region s∗corresponding to the dual of s in terms of p∗1 and p∗2. (No rigorous proof is needed.) 3. If a line l intersects the line segment s, prove that l∗is in the region s∗.

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