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Iranian Geometry Olympiad (5)

Source: Advanced level,P5

September 13, 2016
geometrygeometry proposed

Problem Statement

Do there exist six points X1,X2,Y1,Y2,Z1,Z2X_1,X_2,Y_1, Y_2,Z_1,Z_2 in the plane such that all of the triangles XiYjZkX_iY_jZ_k are similar for 1≤i,j,k≤21\leq i, j, k \leq 2? Proposed by Morteza Saghafian
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