What one learns in U.S. High School Geometry has changed over the years. When I took it as a high school students, we learned Euclidean Geometry and learned how to do proofs properly. My DD's (regular) Geometry class was mostly a "how to" manual, that basically showed how you used these lemmas with some algebra to solve a lot of basic geometric problems. The difference with my son's "Honors" geometry class was that he was expected to learn how to do standard proofs.

Some school districts do teach a "Coordinated Math" curriculum rather than the more standard Algebra I, Geometry, Algebra II. This curriculum just takes the standard topics and rearranges the order. Each year you get a bit of algebra and some geometry. I'm not qualified to say if either ordering is "better" or not.