Is a transsexual a transgender

The answer is NO! Homosexual falls in the category of sexual orientation, i.e., what gender does an individual prefer to have sex with. Transvestite is one of many terms in the category of 'gender identity', i.e., which sex do you perceive yourself to be in your brain/mind. Other terms that fall into gender identity are crossdresser and transsexual. Sexual orientation and gender identity are independent things -- and often confused.