Flashcardizz Classwork: Congruency 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 SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a criterion for triangle congruence stating that 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 AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a criterion for triangle congruence 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, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a criterion for triangle congruence applicable 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

Back

AB ≅ XY; corresponding sides of congruent triangles are equal.

Front

What additional information is needed to prove triangles congruent by SSS?

Back

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

Front

What additional information is needed to prove triangles congruent by ASA?

Back

The measures of two angles and the length of the included side must be known.

Front

What additional information is needed to prove triangles congruent by AAS?

Back

The measures of two angles and the length of a non-included side must be known.

Front

What additional information is needed to prove triangles congruent by HL?

Back

The lengths of the hypotenuse and one leg of both right triangles must be known.