The saber-toothed cat defended itself primarily with its claws. It can easily reach out and slash an antagonist. It should be noted that in spite of having the elongated teeth for which it is famous, these teeth can be broken, and the big cat had to take a bit of care when using them, even in its own defense.
If you have ever watched footage of a modern big cat attacking something or defending itself, the beast leads with its claws in either case where the chips are down. And so did Smilodon and its cousins Note that the cat might run from a given antagonist, or it might climb if it is able to do so. It also growled, roared, hissed and spat to intimidate enemies, just like the big cats of today.
A link can be found below. Also check YouTube for footage of big cats in conflict and see what they do.
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