Identifying Triangle Congruence Criteria

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion 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 criterion 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 AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion 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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

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

Back

Not necessarily; two sides alone do not guarantee congruence unless the included angle is also known (SAS) or the third side is known (SSS).

Front

What is the significance of the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have two angles equal, what can be concluded?

Back

If two triangles have two angles equal, the third angle must also be equal, making the triangles congruent by AAS or ASA.

Front

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

Back

If two triangles are congruent, then all corresponding sides and angles are equal.

Front

How can you prove that two triangles are not congruent?

Back

To prove that two triangles are not congruent, you can show that at least one pair of corresponding sides or angles is not equal.