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Problems(2)
given points (1,2), (3,1) restore coordinate system
Source: 2008 Oral Moscow Geometry Olympiad grades 8-9 p1
10/13/2020
A coordinate system was drawn on the board and points and were marked. The coordinate system was erased. Restore it by the two marked points.
analytic geometrygeometryconstruction
cutting 2 similar triangles into 2 parts, 1 similar with the starting one
Source: 2008 Oral Moscow Geometry Olympiad grades 10-11 p1
10/14/2020
Each of two similar triangles was cut into two triangles so that one of the resulting parts of one triangle is similar to one of the parts of the other triangle. Is it true that the remaining parts are also similar?(D. Shnol)
geometrysimilar trianglescut