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7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
Posted: Sat Dec 12, 2020 4:07 pm
by IftakharTausifFarhan
A trapezoid $ABCD$ is given where $AB$ and $CD$ are parallel. Let $M$ be the midpoint of the segment $AB$. Point $N$ is located on the segment $CD$ such that $\angle ADN= \frac{1}{2} \angle MNC$ and $\angle BCN=\frac{1}{2} \angle MND$. Prove that $N$ is the midpoint of segment $CD$.
Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
Posted: Fri Dec 18, 2020 10:32 pm
by Mehrab4226
It took 1 hour at the exam hall and 25 minutes to recall it about a decade later
Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
Posted: Tue Feb 23, 2021 10:11 pm
by Asif Hossain
Just an off topic question: @ mehrab did you participate in IGO 2020? how did you participate??
Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
Posted: Tue Feb 23, 2021 11:39 pm
by Mehrab4226
Asif Hossain wrote: ↑Tue Feb 23, 2021 10:11 pm
Just an off topic question: @ mehrab did you participate in IGO 2020? how did you participate??
yes, I did. There was a google docs form for registration posted on the BDMO FB page.