Two-Column Proofs

Front

What is a Two-Column Proof?

Back

A method of organizing a proof in geometry where statements and reasons are listed in two columns.

Front

What does FH≅FH represent?

Back

It represents the reflexive property, indicating that a segment is congruent to itself.

Front

What is the significance of Alternate Interior Angles?

Back

Alternate interior angles are congruent when two parallel lines are cut by a transversal.

Front

What is the SAS Postulate?

Back

Side-Angle-Side Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the ASA Postulate?

Back

Angle-Side-Angle Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the SSS Postulate?

Back

Side-Side-Side Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, the triangles are congruent.

Front

What is the AAS Postulate?

Back

Angle-Angle-Side Postulate states that 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, the triangles are congruent.

Front

What does the term 'reflexive property' mean?

Back

It states that any geometric figure is congruent to itself.

Front

What is the role of 'given' in a proof?

Back

The 'given' provides the initial information or conditions that are accepted as true for the proof.

Front

What is a transversal in geometry?

Back

A line that intersects two or more lines at different points.