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VMO 1977 — Division A Question 6

VMO · VMO 1977 — Division A

Question 6

An $m$-sided polygon $(P)$ and an $n$-sided polygon $(P')$ lie in two parallel planes. Consider the family of segments $AA'$ with $A$ and $A'$ lying on sides of $(P)$ and $(P')$, respectively. Explain how to find:
(a) a shortest segment $AA'$;
(b) a longest segment $AA'$.