MathDB

midpoint wanted, reflect center of square wrt vertex

Source: Austria Beginners' Competition 2009 p4

December 26, 2021

geometrymidpointsquare

Problem Statement

The center

M

of the square

ABCD

is reflected wrt

C

. This gives point

E

. The intersection of the circumcircle of the triangle

BDE

with the line

AM

is denoted by

S

. Show that

S

bisects the distance

AM

.
(W. Janous, WRG Ursulinen, Innsbruck)