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10.1

Part of 2022 Sharygin Geometry Olympiad

Problems(1)

Sharygin Geometry Olympiad 2022 Final Grade10 P1

Source: Sharygin Geometry Olympiad 2022 Final Grade10 P1

8/11/2022
A1A2A3A4A_1A_2A_3A_4 and B1B2B3B4B_1B_2B_3B_4 are two squares with their vertices arranged clockwise.The perpendicular bisector of segment A1B1,A2B2,A3B3,A4B4A_1B_1,A_2B_2,A_3B_3,A_4B_4 and the perpendicular bisector of segment A2B2,A3B3,A4B4,A1B1A_2B_2,A_3B_3,A_4B_4,A_1B_1 intersect at point P,Q,R,SP,Q,R,S respectively.Show that:PR⊥QSPR\perp QS.
Sharygin Geometry Olympiadgeometry