Shred both red and green cabbage and julienne red pepper, place in a large mixing bowl.
Open and drain cans of corn and black beans, being sure to rinse beans 2-3 times to remove starchy liquid from the beans.
Add to the cabbage and pepper mixture.
Chop the garlic, cilantro and jalapeno in a food processor.
Add yogurt, vinegar, lime juice, cumin, chili powder salt and pepper and blend until smooth.
Add dressing to the prepared vegetables, and mix well.
Season with salt and pepper, chill and serve.