I actually came to the comments to see if we had this information! Thanks.
but does it have to be a given, or can we actually prove that it has to be
It has to be given, otherwise there would be infinitely many solutions.
You would need some other information to link the line segment X to the rest of the figure.
Wow, that’s cool
The explanation don’t explain why AE must be a diameter of the circle. What makes that obvious?
How have I had years of math and not seen this? I mean, it’s not super useful for me, but I would have thought I would have seen something like this in pre calculus at least.
I teach this to my grade 9 class in Canada. It’s on the curriculum.
Nice. I have no recollection of seeing this before.
Tbf most Canadian grade 9 teachers skip it.
Geometry, class six or seven.
Thanks. I had the same Q: https://en.m.wikipedia.org/wiki/Thales’s_theorem
Ooh clever
Tats so cool! Did you just do that or find it?
