2-Column Proofs 1

A 2-column proof is a method of proving statements in geometry where one column lists statements and the other column lists the corresponding reasons for those statements.

'Given' refers to the information that is provided in the problem statement, which is assumed to be true and used as the starting point for the proof.

The reflexive property states that any geometric figure is congruent to itself, meaning that for any segment AB, AB = AB.

To identify what to prove, look for the conclusion or statement that needs to be established based on the given information.

A statement is a claim or assertion made in the proof that is either a given fact or a conclusion derived from previous statements.

A reason is the justification for why a statement is true, which can include definitions, properties, or previously proven theorems.

The purpose of a 2-column proof is to provide a clear and logical argument that demonstrates the truth of a geometric statement.

An example of a geometric property is the Triangle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.

You can use the given information as the foundation for your proof, applying it to derive new statements and conclusions.

The conclusion is the final statement that you aim to prove, summarizing the result of the logical reasoning presented in the proof.