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smc

geometry senior

Problem

Convex polygons and are drawn in the same plane with and sides, respectively, . If and do not have any line segment in common, then the maximum number of intersections of and is:
(A)
(B)
(C)
(D)
Solution
Notice how can pass through each line segment of at most twice. To have more than two intersections, the line passing through would have a zigzag shape which is impossible for convex polygons. Therefore, the intersections does not depend on and the answer is
Final answer
A