SSS/SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', which is a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', which is a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

How can you determine if two triangles are not congruent?

Back

Two triangles are not congruent if their corresponding sides and angles do not match in size and measure.

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle is crucial in the SAS criterion because it ensures that the two sides are connected in the same way, which affects the overall shape of the triangle.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle must be equal for congruence.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the two triangles are congruent.

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant in geometry because it allows for the establishment of equality in shape and size, which is fundamental in proving other geometric properties and theorems.

Front

What is a counterexample in the context of triangle congruence?

Back

A counterexample is a specific case that disproves a statement; in triangle congruence, it can be a pair of triangles that do not meet the criteria for congruence despite having some equal sides or angles.