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Problems(2)
criterion for equality of trapezoids or not? 2 equal angles and diagonals
Source: Oral Moscow Geometry Olympiad 2015 grades 10-11 p1
8/6/2019
Two trapezoid angles and diagonals are respectively equal. Is it true that such are the trapezoid equal?
geometrytrapezoiddiagonalsequal anglescongruent
1 altitude bisects 1 median => another altitude bisects another median
Source: Oral Moscow Geometry Olympiad 2015 grades 8-9 p1
8/8/2019
In triangle , the altitude passes through midpoint of the median . Prove that in the triangle also one of the altitudes passes through the midpoint of one of the medians.
geometrybisectsaltitude