Triangle Congruence Theorems p.6&7

Front

What is the definition of triangle congruence?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the acronym HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the SAS congruence theorem?

Back

SAS stands for Side-Angle-Side; it states 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 triangles are congruent.

Front

What is the AAS congruence theorem?

Back

AAS stands for Angle-Angle-Side; it states 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 SSA condition in triangle congruence?

Back

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

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, used to conclude that corresponding parts of congruent triangles are also congruent.

Front

Which triangle congruence theorem is not valid?

Back

AAA (Angle-Angle-Angle) is not a valid triangle congruence theorem because it does not guarantee that the triangles are congruent in size.

Front

What is the significance of the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem is significant because it provides a quick way to prove the congruence of right triangles using only the hypotenuse and one leg.

Front

How can you determine if two triangles are congruent using the SAS theorem?

Back

To determine congruence using SAS, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Front

What is the difference between AAS and ASA?

Back

AAS (Angle-Angle-Side) involves two angles and a non-included side, while ASA (Angle-Side-Angle) involves two angles and the included side.