MathDB

2

Part of 1963 Polish MO Finals

Problems(1)

common midpoints for 6 segments

Source: Polish MO Finals 1963 p2

8/30/2024
In space there are given four distinct points A A , B B , C C , D D . Prove that the three segments connecting the midpoints of the segments AB AB and CD CD , AC AC and BD BD , AD AD and BC BC have a common midpoint.
geometry3D geometryconcurrentmidpoint