During metaphase of mitosis (and meiosis), chromosomes do attach to spindle fibers and line up along the equator of the cell.

Here's why:

* Spindle fibers: These are made of microtubules and originate from the poles of the cell.

* Chromosomes: These contain the genetic material of the cell and are duplicated during the S phase of the cell cycle.

* Metaphase: This is the stage where the chromosomes align at the center of the cell, forming the metaphase plate. The spindle fibers attach to the centromeres of the chromosomes, ensuring that each sister chromatid is pulled to opposite poles during anaphase.