There are 2 axis involved (maybe more) - there used to be a Libertarian test (a more sophisticated one that the simple on we see now, with many questions) that would plot you on a 2 axis chart. I recall that I was right of center, and more libertarian (less authoritarian) than the center, but I haven't seen the test on line for a while. There's a simpler version, but I don't think it really does the job.
We were taught similar in high school. And it was wrong, as you've noted.
“...I haven’t seen the test on line for a while...”
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Something like this?
https://opensourceyourmind.org/u-s-political-spectrum/