The term used to describe organisms that passed the same form of a trait over many generations is true-breeding.

Here's why:

* True-breeding means that an organism consistently produces offspring with the same trait when self-fertilized or crossed with another true-breeding organism of the same type. This implies that the organism is homozygous for the trait in question.

For example, a true-breeding pea plant with purple flowers will always produce offspring with purple flowers, because it carries two identical alleles for purple flowers.

Let me know if you have other questions about genetics!