First of all, the principle of segregation is: the two members of a gene pair (alleles) segregate from each other in the formation of gametes. Half the gametes carry one allele, and the other half carry the other allele.
Principle of independent assortment is: genes for different traits assort independently of one another in the formation of gametes.
If the parents have AA and aa alleles, they would give the gametes of A and a. Therefore, their progeny F1 would have the alleles of Aa. For F2, they would have the alleles of 1AA: 2Aa: 1aa. As a result, their genotype ratio would be 1:2:1, and their phenotype ratio would be 3Dom: 1rec.
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