MathDB

105

Part of 1975 Chisinau City MO

Problems(1)

Chisinau MO p105 1975 R2 VIII A, B, M, K conyclic if AB=BC=CD

Source:

3/16/2021
Let MM be the point of intersection of the diagonals, and KK be the point of intersection of the bisectors of the angles BB and CC of the convex quadrilateral ABCDABCD. Prove that points A,B,M,KA, B, M, K lie on the same circle if the following relation holds: ∣AB∣=∣BC∣=∣CD∣|AB|=|BC|=|CD|
geometryConcyclicequal segments