Math 2: CW 4.3 Two-Column Proofs

Front

What is a two-column proof?

Back

A two-column proof is a method of organizing a mathematical argument where statements are listed in one column and corresponding reasons or justifications are listed in the second column.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., AD ≅ AD.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that vertical angles are congruent.

Front

What should be listed first in a two-column proof?

Back

Given Statements should always be listed first in a two-column proof.

Front

What does it mean for segments to be congruent?

Back

Segments are congruent if they have the same length.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

What is a statement in a proof?

Back

A statement in a proof is a declaration that can be true or false, used to build the argument.

Front

What is a reason in a proof?

Back

A reason in a proof is the justification for why a statement is true, often based on definitions, properties, or theorems.

Front

What is the purpose of a two-column proof?

Back

The purpose of a two-column proof is to provide a clear and logical argument to demonstrate the truth of a mathematical statement.