7

Part of 2000 Tuymaada Olympiad

Problems(1)

every 2 of 5 regular pentagons have a common point

Source: Tuymaada 2000 Juniors 7

Every two of five regular pentagons on the plane have a common point. Is it true that some of these pentagons have a common point?

combinatoricscombinatorial geometrygeometryregular polygonpentagon