SSS, SAS, ASA & AAS Flashcard - Game #3

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, then 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, then 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, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate 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, then the triangles are congruent.

Front

Can two triangles be congruent if only two sides are known and the angle between them is not?

Back

No, this is known as the SSA condition, which does not guarantee triangle congruence.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles may not be congruent unless a third side or angle is known.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is crucial in the SAS postulate because it ensures that the two triangles are congruent based on the specific arrangement of the sides and angle.

Front

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

Back

To determine congruence using AAS, verify that two angles and a corresponding non-included side of one triangle are equal to two angles and the corresponding non-included side 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 relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.