If pie ≈ Kuchen and Kuchen ≈ bread, then bread ≈ pie?

And how does Torte figure in here?

Sarah’s been experimenting with crusty baked goods lately, ever since she got back from Poland with some equipment. We’ve shied away from pies, quiches and tarts our since having moved to Germany because of the crappiness of the oven in our old place. Now that that’s no longer an issue, we’ve got another desserty avenue to explore and share with the locals (which I often do at work).

But, were I to bring in a cherry pie to share (last night’s test run was definitely worthy), what would I call it in German? dict.leo.org suggests Kuchen for pie. I would have guessed Torte, I suppose, but maybe my concept of tarts and tortes is off. And if pie translates to Kuchen, and the pumpkin/banana/zucchini bread I bring in to share counts as Kuchen what does that imply about pie’s relationship to bread? Should just give up and introduce it as “Cherry Pie” and be done with it?

I am sure this is one of those math things.