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given points (1,2), (3,1) restore coordinate system

Source: 2008 Oral Moscow Geometry Olympiad grades 8-9 p1

October 13, 2020
analytic geometrygeometryconstruction

Problem Statement

A coordinate system was drawn on the board and points A(1,2)A (1,2) and B(3,1)B (3,1) were marked. The coordinate system was erased. Restore it by the two marked points.