SSS, SAS, ASA, AAS

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 theorem that states 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, then the triangles are congruent.

Front

Which congruence postulate cannot be used to prove triangles congruent?

Back

SSA (Side-Side-Angle) cannot be used to prove triangles congruent.

Front

What is the congruence statement for triangles with sides 5, 7, and 9?

Back

If two triangles have sides of lengths 5, 7, and 9, they can be proven congruent using the SSS postulate.

Front

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

Back

If two triangles have two angles equal, the sides opposite those angles are proportional, but the triangles may not be congruent unless the third angle is also equal.

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

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

Back

No, knowing only one side and two angles (SSA) does not guarantee triangle congruence.

Front

What is the relationship between AAS and ASA?

Back

AAS and ASA both lead to triangle congruence; knowing two angles and a non-included side (AAS) is sufficient to prove congruence, just like knowing two angles and the included side (ASA).