Are all a dog's teeth called "canine teeth"?

This morning, while getting ready for her first day back to school, Carlie was lying on the couch watching "Phineas and Ferb". Britt was still trying to wrestle the bear (otherwise known as Cam around these parts) from his slumber.

I was in my usual bright-eyed, bushy-tailed, cheerful stumbling down the stairs, eyes-half-open-until-I-get-to-the-bottom-of-this-diet-coke mood. But even I had to laugh at my girl this morning.
Carlie was lying there minding her very own business. Bentley was super excited about us being awake with him at such a horrendous I mean, early hour. He jumped up a couple of times to get Carlie's attention. She gave him none. So he jumped up and nipped at her. She flipped out. Given her propensity for drama. I expected no less.
She was hysterical. Obviously, I wasn't sympathetic enough. (I could not even see a scratch, mind you) Through her crocodile tears she managed to say. "Mama you don't even care! And it really hurt! Bentley got me with his cani (she pronounced it cay-nye) teeth!".
I guess the dog's "cay-nye" teeth are sharper.

But aren't all dog's teeth called canine?