Where are all ground locations on 2010 Prius

All the grounds? you will need a manual for that

https://www.alldata.com/diy-us/en

If the car will not turn on then I would remove the 12 volt battery and have it tested at the auto parts store. This battery controls the electrical system, (not the hybrid motor system). You can use a volt meter to check the battery surface charge. This guide can help

https://www.2carpros.com/articles/how-to-use-a-voltmeter

Please upload a short video in your response of the problem, so I can see what's going on. Ken