Congruent Triangle Two-Column Proofs

Front

What does it mean if a line bisects another line?

Back

It means that the line divides the other line into two equal parts.

Front

What is the first statement in the reason column of a two-column proof?

Back

Given

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The triangles are congruent (AAS or ASA can be used to prove this).

Front

What is the significance of the 'Given' statement in a proof?

Back

It provides the initial information or conditions that are accepted as true for the proof.

Front

Can triangles be proven congruent if only one side and two angles are known?

Back

Yes, if the two angles and the non-included side are known, the triangles can be proven congruent using AAS.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.