7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
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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 $CD$.
- Mehrab4226
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Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
It took 1 hour at the exam hall and 25 minutes to recall it about a decade later
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The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré
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Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
Just an off topic question: @ mehrab did you participate in IGO 2020? how did you participate??
Hmm..Hammer...Treat everything as nail
- Mehrab4226
- Posts:230
- Joined:Sat Jan 11, 2020 1:38 pm
- Location:Dhaka, Bangladesh
Re: 7ᵗʰ Iranian Geometry Olympiad 2020 (Intermediate) P1
yes, I did. There was a google docs form for registration posted on the BDMO FB page.Asif Hossain wrote: ↑Tue Feb 23, 2021 10:11 pmJust an off topic question: @ mehrab did you participate in IGO 2020? how did you participate??
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré