MathDB

8.6

Part of 2005 All-Russian Olympiad Regional Round

Problems(1)

PQ // CD if <A=<C All-Russian MO 2005 Regional (R4) 8.6

Source:

8/26/2024
In quadrilateral ABCDABCD, angles AA and CC are equal. Angle bisector of BB intersects line ADAD at point PP. Perpendicular on BPBP passing through point AA intersects line BCBC at point QQ. Prove that the lines PQPQ and CDCD are parallel.
geometryangle bisector