Two-Column Proofs

Front

What is a Two-Column Proof?

Back

A Two-Column Proof is a method of organizing a logical argument in geometry, where statements and reasons are listed in two columns to demonstrate the validity of a geometric statement.

Front

What does SAS stand for in geometry?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in geometry?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in geometry?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does AAS stand for in geometry?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any segment AB, AB ≅ AB.

Front

What is the Given statement in a proof?

Back

The Given statement is the information provided in a problem that serves as the starting point for the proof.

Front

What is a Congruent Angle?

Back

Congruent angles are angles that have the same measure.

Front

What is a Congruent Segment?

Back

Congruent segments are line segments that have the same length.

Front

What is the purpose of a Two-Column Proof?

Back

The purpose of a Two-Column Proof is to clearly and logically demonstrate the validity of a geometric statement using established postulates and theorems.