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5

Part of 2016 Novosibirsk Oral Olympiad in Geometry

Problems(1)

angle bisector _|_ AB, #, bisectors (2016 Novosibirsk Oral Geo Oly 8-9 p5)

Source:

4/26/2021
In the parallelogram CMNPCMNP extend the bisectors of angles MCNMCN and PCNPCN and intersect with extensions of sides PN and MNMN at points AA and BB, respectively. Prove that the bisector of the original angle CC of the the parallelogram is perpendicular to ABAB. https://cdn.artofproblemsolving.com/attachments/f/3/fde8ef133758e06b1faf8bdd815056173f9233.png
geometryparallelogramperpendicular