Memories

Geometry Level 3

I'm actually a self - taught person when it comes to math (with a little help of my very latented neighbour).

But, because of that, I sometimes make misconceptions. But is the problem below - the thought I had in my head when I was 10 - one of my misconceptions?

M M and N N are respectively midpoints of A B AB and C D CD - the bases of the trapezoid (or the trapezium) A B C D ABCD . Line B C BC , D A DA and M N MN meet at O O .

Is it true that line O N ON is always the bisector of A O B ^ \widehat{AOB} ?


This is part of the series: " It's easy, believe me! "

No, it is false. O N ON isn't always the bisector of A O B ^ \widehat{AOB} . Cannot be determined. No, it is false. Line B C BC , D A DA and M N MN can't always meet at O O . Yes, it is true.

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1 solution

Aman Thegreat
Oct 23, 2017

I guess it's only possible for isosceles trapezium that O N ON will bisect A O B \angle AOB

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