Where does the , and . go?

Where does the , and . go?
 

I've always thought that the , and . go after the " in certain sentences.
For example:
The Move feature is commonly called "cut and paste,"........ <<<<in the book
The Move feature is commonly called "cut and paste",......... <<<<What I THOUGHT it was.

.......is often called "copy and paste." <<<<book
.......is often called "copy and paste". <<<what I thought it was

I have always used it like "this," and like "this."
I think the other method looks bad...

The period and the comma belong inside the quotation marks, in the United States. In England, they go outside. This is why you'll see them in both places.
There's more to the rules than I have explained above; I just wanted to let you know that the rules differ from place to place to help explain your confusion.

oh I see. I have no idea why I keep thinking the British way (in this case)