The organelles that use spindle fibers to separate sister chromatids during mitosis are called Centrioles. However, it's important to clarify that the spindle fibers originate from the centrosomes, which contain centrioles. The term that specifically refers to the protein structures where spindle fibers attach to chromosomes is Kinetochore.
For clarity:
- Centrioles are involved in organizing the mitotic spindle.
- Kinetochore is where spindle fibers attach to sister chromatids.
- Centromere is the region of the chromosome where sister chromatids are joined.
In this context, if you're referring directly to the structures that attach the spindle fibers to the chromatids, the best term is Kinetochore.