olymmath

USAMO 1978 Problem 2

  • Day 1

Two square maps cover exactly the same area of terrain on different scales. The smaller map is placed on top of the larger map and inside its borders. Show that there is a unique point on the top map which lies exactly above the corresponding point on the lower map. How can this point be constructed?

Dataset text NuminaMath olympiads. Quoted with source.

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