Final answer:
If two homozygous affected individuals mate, their children will also be affected, whether the condition is autosomal dominant (each child will have at least one dominant allele) or autosomal recessive (each child will inherit two recessive alleles).
Step-by-step explanation:
If two homozygous affected individuals mated, all their children would indeed also be affected. This is because homozygous affected individuals have two copies of the allele that causes the condition. Since they can only pass on this allele to their offspring, all children from this mating would inherit one allele from each parent, resulting in them also being homozygous for the trait. In the realm of autosomal dominant inheritance, a single copy of the dominant allele (in this case an affected allele) would be enough to express the trait. Therefore, if the condition in the question is an autosomal dominant one, all offspring of two affected parents would also be affected.
However, the situation differs with autosomal recessive inheritance. With recessive conditions, individuals with the disease must have two copies of the recessive allele. Parents with the disease are homozygous recessive (aa). All children of two homozygous recessive parents will necessarily also be homozygous recessive and, consequently, will express the recessive condition.