1. An indifference curve represents combinations of two goods that provide a consumer with equal satisfaction or utility. 2. Indifference curves have specific properties - they slope downward, are convex to the origin, and do not intersect with each other. Higher indifference curves represent greater satisfaction. 3. The indifference curve theory is based on assumptions including that the consumer has a fixed budget to spend on two goods, has not reached satiety, can rank utilities ordinally, and has a diminishing marginal rate of substitution between goods.