Final answer:
The fact that maternal and paternal chromosome pairs line up randomly during metaphase of meiosis supports Mendel's Law of Independent Assortment.
Step-by-step explanation:
The fact that maternal and paternal chromosome pairs line up randomly during metaphase of meiosis supports Mendel's Law of Independent Assortment. During meiosis, the homologous pairs of chromosomes line up in random orientations, and each gamete can contain any combination of paternal and maternal chromosomes. This random assortment of chromosomes during meiosis allows for the independent inheritance of different genes.