Dillion

V is between 4.5 and 4.6 inclusive.

Given a hexagon $ABCDEF$ inscribed in a circle with $AB = BC, CD = DE, EF = FA$, show that $\overline{AD}, \overline{BE}$, and $\overline{CF}$ are concurrent. [asy] unitsize(2 cm); pair A, B, C, D, E, F, G; A = dir(85); B = dir(45); C = dir(5); D = dir(-5...

Let A and B be two points on the hyperbola xy=1, and let C be the reflection of B through the origin. Let Gamma be the circumcircle of triangle ABC and let A' be the point on Gamma diametrically opposite A. Show that A' is also on the hyperbola xy=1.

They aren't diameters tho.

How do we find the coordinates of A'?

Nvrm I solved it.