SSS, SAS, ASA & AAS Flashcard

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

Can two triangles be proven congruent using SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared, which is crucial for establishing congruence.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine congruence using AAS, verify that two angles and a corresponding non-included side of one triangle are equal to those of another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS allows for a non-included side to be equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.