Final answer:
Mendel's cross-pollination of pea plants proved the existence of dominant and recessive traits.
Step-by-step explanation:
Mendel's cross-pollination of pea plants proved the existence of dominant and recessive traits. When he crossed parents that differed by one trait, the F1 offspring all expressed the traits of one parent, showing the dominance of that trait. When the F1 offspring were self-crossed, the F2 offspring exhibited a 3:1 ratio of dominant to recessive traits, confirming the presence of both traits and the random segregation of alleles.