Congruent Triangles

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

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What is the Angle-Angle-Angle (AAA) criterion?

Back

AAA is a criterion that states if two triangles have equal corresponding angles, they are similar, but it does not prove congruence.

Front

What is the definition of corresponding angles in triangles?

Back

Corresponding angles are angles that are in the same position in different triangles when the triangles are aligned.

Front

What is the definition of corresponding sides in triangles?

Back

Corresponding sides are sides that are in the same position in different triangles when the triangles are aligned.

Front

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

Back

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

Front

What is the definition of the Side-Side-Side (SSS) criterion?

Back

SSS is a criterion for triangle congruence that states if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the definition of the Angle-Side-Angle (ASA) criterion?

Back

ASA is a criterion for triangle congruence that states if two angles and the side between them in one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.

Front

What is the definition of the Side-Angle-Angle (SAA) criterion?

Back

SAA is a criterion for triangle congruence that states if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.