if color is just one length of wave being reflected, does that mean all waves up unto that point are absorbed?

If you see something red, apparently the violet, blue, green, and yellow waves were mostly absorbed. One does not know visually whether the ultraviolet, infrared, and microwaves were absorbed, as your eye is not designed to see them.

Absorbed, transmitted or scattered - those are the options besides reflection.

As well as being reflected or absorbed and turned into heat, some of the light spectrum can be transmitted through the object.

"objects have a tendency to selectively absorb, reflect or transmit light (of) certain frequencies. That is, one object might reflect green light while absorbing all other frequencies of visible light. Another object might selectively transmit blue light while absorbing all other frequencies of visible light. The manner in which visible light interacts with an object is dependent upon the frequency of the light and the nature of the atoms of the object."

That means all other VISIBLE wavelengths are MOSTLY absorbed. That's all it means. Any absorbed wavelengths are turned into heat.