Answer
Reflexive: Yes
Symmetric: No
Transitive: No
Work Step by Step
This is a reflexive property, for it is assumed a person is a friend of themselves. This is not a symmetric property, for just because someone is a friend with someone else does not mean that the other person considers themselves friends with them. This is not a transitive property, for just because one person is friends with two different people does not mean that those two different people are friends.