Answer:
D - Cross the long-finned fish with short-finned fish; if the offspring are all long-finned, the long-finned parent is homozygous.
Step-by-step explanation:
Since long fins is a dominant trait, a cross between homozygous dominant long-finned fish and short-finned fish should results in all long-finned offspring.
If long fin allele is L, homozygous long fin will be LL and short fin will be ll
LL x ll
This will result in Ll, Ll, Ll, Ll genotype offspring and since L is dominant, all the offspring will have long fin.
Hence, in order to for the breeder to tell which of the long-finned fish is/are homozygous for the trait, all she needs to do is mate each of the long-finned fishes with a short-finned fish. Anyone that yields all long-finned offspring is homozygous for the trait.
The correct option is D.