Triangle Congruency

Front

What is triangle congruency?

Back

Triangle congruency refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

Name the triangle congruence theorem 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.

Back

SAS (Side-Angle-Side) Theorem.

Front

Which triangle congruence theorem is based on three sides being equal?

Back

SSS (Side-Side-Side) Theorem.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a theorem stating that 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

What is the significance of the AAA triangle congruence?

Back

AAA (Angle-Angle-Angle) does not prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

If two triangles have two sides equal and the angle opposite one of those sides is equal, which theorem can be used to prove congruence?

Back

ASA (Angle-Side-Angle) Theorem.

Front

What is the HL theorem in triangle congruence?

Back

HL (Hypotenuse-Leg) Theorem 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, then the triangles are congruent.

Front

How can you denote a triangle congruent to triangle ABC?

Back

You can denote it as triangle FMN, triangle NMF, triangle MNF, or triangle MFN, depending on the corresponding vertices.

Front

What is the first step to determine if two triangles are congruent?

Back

Identify the corresponding sides and angles of the triangles.

Front

What does it mean if two triangles are not congruent?

Back

It means that at least one pair of corresponding sides or angles is not equal.