LOGIC

Geometry is based on logic, without it there could be no geometry. This form of logic is known as deductive reasoning, a process that involves finding the answers to problems utilizing known data.

There are many forms of logic, but the ones primarily used in geometry are listed here.

Converse- The reverse of a statement. (It is technically not the opposite of the statement, however it is reversed. A statement is completely true when both the original statement and its converse are true statements)

Example: The sun is shining, so it must be daytime.

Converse: The sun is not shining, so it is not daytime.

Reflexive- something is reflexively the same as itself. This may seem rather obvious, but it is crucial in geometry to know that something is the same as itself.

Symmetric- If something is the same as something else, then that something else is the same as that something.

Example: If A is B, then B is A.

Transitive- If A is B, and B is C, then A is C.