Answer and Explanation: To be inherited through mendelian genetics, the traits has to "follow" the 3 principles Mendel described:
1) <em><u>Principle of Uniformity:</u></em> All the progeny born from a cross between parents that differ by only one trait will appear identical. Exceptions to penetrance (probability of a gene being expressed), expressity (the different degree a trait express in each individual) and sex-linkage inheritance;
2) <em><u>Principle of Segregation:</u></em> The alleles are separated during meiosis, producing equal quantity of gametes (male and female) that contain each allele. So, when one parent carry the dominant trait, the offspring will have the same genotype from the dominant with ratio 3:1;
3) <em><u>Principle of Independent Assortment:</u></em> Alleles at one locus separate into gametes independently of alleles at other loci, i.e., each trait is inherited independently from the other. In a dihybrid cross, the proportion of dominant offspring is also approximately 3:1;
In conclusion, traits that follow these "rules", are traits inherited through mendelian genetics.