I have a monitor on a stand and I’m trying to center it. How would I use geometry to do so instead of guesswork?
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I am not sure what it is that you are asking.
Are you trying to center the monitor on the stand, the stand on the desk, something else?
It sounds like whatever it is you are doing is going to involve at least one rectangle.
If you don’t have a measuring tape to find the center, you can make straight diagonal lines from corner to corner to find the center of a rectangle.