MathDB

2020.7.41

Part of Kyiv City MO Juniors 2003+ geometry

Problems(1)

concurrency of perp. bisectors (2020 Kyiv City MO 7.4.1)

Source:

9/19/2020
In the quadrilateral ABCDABCD, AB=BCAB = BC . The point EE lies on the line ABAB is such that BD=BEBD= BE and AD⊥DEAD \perp DE. Prove that the perpendicular bisectors to segments AD,CDAD, CD and CECE intersect at one point.
geometryconcurrencyconcurrentperpendicular bisectorequal segments