Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the definition of congruent figures?

Back

Two figures or objects are congruent if they have the same size and shape.

Front

What is the fourth way to prove triangles congruent?

Back

The fourth way to prove triangles congruent is by using the AAS theorem.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

In congruent triangles, all corresponding sides and angles are equal.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and a side must be equal.

Front

What is the importance of the included angle in the SAS theorem?

Back

The included angle in the SAS theorem is crucial because it must be between the two sides being compared for the triangles to be proven congruent.

Front

What is the significance of the congruence postulates in geometry?

Back

Congruence postulates are significant because they provide methods to prove that two triangles are congruent without needing to measure all sides and angles.