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The relation "has the same father as' ov...

The relation "has the same father as' over the set of children (a) only reflexive (b) only symmetric (c) only transitive (d) an equivalence relation

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`R = {a,b): a` and `b` have same father }.
Let `(x,x) in R => x` and `x` have same father.
It is true so, `(x,x) in R`.
`:. R` is reflexive.
Let `(x, y) in R => x` and `y` have same father.
...
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