How do I commit all deleted files in Git?

Question

I have a Git repo that I have deleted four files from using rm (not git rm), and my Git status looks like this:

#    deleted:    file1.txt
#    deleted:    file2.txt
#    deleted:    file3.txt
#    deleted:    file4.txt

How do I remove these files from Git without having to manually go through and add each file like this:

git rm file1 file2 file3 file4

Ideally, I'm looking for something that works in the same way that git add . does, if that's possible.