For a simple dominant/recessive trait, do the offspring of parents with identical traits (that are visible) always look like­ or have the same visible traits, as the parents? explain why they do or why they do not.

No they do not since whilst the parents may exhibit a certain trait this does not mean that they are necessarily homozygous for that trait, and thus if for example we had two heterozygous individuals who had brown eyes, with B denoting brown eyes as the dominant trait and b denoting blue eyes as the recessive trait, their offSpring could have the genotypes BB, Bb or bb - we can see here that whilst the chance of having brown eyes is higher, the offspring may have either brown or blue eyes.