MathDB

2

Part of 2018 Polish Junior MO First Round

Problems(1)

Parallelogram, perpendicular lines

Source: XIII Polish Junior MO 2018 First Round - Problem 2

4/24/2018
Inside parallelogram ABCDABCD is point PP, such that PC=BCPC = BC. Show that line BPBP is perpendicular to line which connects middles of sides of line segments APAP and CDCD.
geometryparallelogramPoland