MathDB

4

Part of 2009 Austria Beginners' Competition

Problems(1)

midpoint wanted, reflect center of square wrt vertex

Source: Austria Beginners' Competition 2009 p4

12/26/2021
The center MM of the square ABCDABCD is reflected wrt CC. This gives point EE. The intersection of the circumcircle of the triangle BDEBDE with the line AMAM is denoted by SS. Show that SS bisects the distance AMAM.
(W. Janous, WRG Ursulinen, Innsbruck)
geometrymidpointsquare