MathDB

7

Part of 2007 Estonia Math Open Junior Contests

Problems(1)

center of square lies on angle bisector (2007 Estonia Open Junior 2.2)

Source:

3/27/2020
The center of square ABCDABCD is KK. The point PP is chosen such that P≠KP \ne K and the angle ∠APB\angle APB is right . Prove that the line PKPK bisects the angle between the lines APAP and BPBP.
geometryangle bisectorsquareright angle