If things continue as they are, expect this to change a bit. In particular, proofs like #4 on Geometry is going to be a requirement in 45 of the 50 states.
Check G-SRT.4 at http://www.corestandards.org/the-standards/mathematics/high-...
Check G-SRT.4 at http://www.corestandards.org/the-standards/mathematics/high-...
Now the students who do math contests and are AIME/USAMO level could probably do the geometry section here without a lot of trouble, but they are the exception.