SSS, SAS, ASA & AAS Flashcard

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 congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

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

Front

Define ASA in the context of triangle congruence.

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily. If only two sides are known without the included angle, the SSA (Side-Side-Angle) condition does not guarantee congruence.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides. It is crucial because it ensures that the triangles are congruent based on the specific arrangement of the sides.

Front

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

Back

To determine if two triangles are congruent using AAS, check if two angles and a non-included side of one triangle are congruent to the corresponding two angles and the non-included side of the other triangle.

Front

What is the difference between ASA and AAS?

Back

The difference is in the position of the sides: ASA requires the side to be between the two angles, while AAS allows the side to be outside the two angles.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that they do not have the same size and shape, and their corresponding sides and angles are not equal.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid postulate for proving triangle congruence because it can lead to ambiguous cases.