Transgender: A term for people whose gender identity, expression or behavior is different from those typically associated with their assigned sex at birth. Transgender is a broad term and is good for non-transgender people to use. "Trans" is shorthand for "transgender." (Note: Transgender is correctly used as an adjective, not a noun, thus "transgender people" is appropriate but "transgenders" is often viewed as disrespectful.)

Transgender Man: A term for a transgender individual who currently identifies as a man (see also "FTM").

Transgender Woman: A term for a transgender individual who currently identifies as a woman (see also "MTF").

Gender Identity: An individual's internal sense of being male, female, or something else. Since gender identity is internal, one's gender identity is not necessarily visible to others.

Gender Expression: How a person represents or expresses one's gender identity to others, often through behavior, clothing, hairstyles, voice or body characteristics.

Transsexual: An older term for people whose gender identity is different from their assigned sex at birth who seeks to transition from male to female or female to male. Many do not prefer this term because it is thought to sound overly clinical.

FTM: A person who transitions from "female-to-male," meaning a person who was assigned female at birth, but identifies and lives as a male. Also known as a "transgender man."

MTF: A person who transitions from "male-to-female," meaning a person who was assigned male at birth, but identifies and lives as a female. Also known as a "transgender woman."

Genderqueer: A term used by some individuals who identify as neither entirely male nor entirely female.

Gender Non-conforming: A term for individuals whose gender expression is different from societal expectations related to gender.

SOURCE/READ MORE: http://www.transequality.org/issues/resources/transgender-terminology

TRANS VS QUEER IDENTITIES: 

https://youtu.be/Ab9RXW4wf0c

SUGGESTED READING:

http://www.nationalgeographic.com/magazine/2017/01/how-science-helps-us-understand-gender-identity/

http://www.huffingtonpost.com/ravishly/neuroscience-proves-what-_b_6494820.html

http://itspronouncedmetrosexual.com/2013/01/a-comprehensive-list-of-lgbtq-term-definitions/#sthash.AnubNH7U.dpbs