FLASHCARD #1: Triangle Congruence Theorems

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the criteria for triangle congruence by SAS?

Back

Side-Angle-Side; two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What is the criteria for triangle congruence by HL?

Back

Hypotenuse-Leg; a method to prove congruence for right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

How can you determine if two triangles are congruent using the ASA criterion?

Back

Angle-Side-Angle; if two angles and the included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

Front

What is the importance of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched to determine congruence; they must be equal for the triangles to be congruent.

Front

What additional information is needed for AAS congruence?

Back

The length of one side opposite the given angles must be known.

Front

What additional information is needed for SSS congruence?

Back

The lengths of all three sides of both triangles must be known.

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, such as ∆ABC ≅ ∆DEF.