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2

Part of 2014 Oral Moscow Geometry Olympiad

Problems(2)

in a parallelogram, equal segments given and wanted

Source: 2014 Oral Moscow Geometry Olympiad grades 8-9 p2

8/9/2019
Let ABCDABCD be a parallelogram. On side ABAB, point MM is taken so that AD=DMAD = DM. On side ADAD point NN is taken so that AB=BNAB = BN. Prove that CM=CNCM = CN.
geometryparallelogramequal segments
Is it possible to cut a regular triangular prism into two equal pyramids?

Source: 2014 Oral Moscow Geometry Olympiad grades 10-11 p2

8/9/2019
Is it possible to cut a regular triangular prism into two equal pyramids?
prismpyramidcut3D geometrygeometry