Congruent Triangles

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence stating that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

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

Which of the following is NOT a valid triangle congruence test? SSA, SSS, SAS, AAS

Back

SSA is NOT a valid triangle congruence test.

Front

If two angles of one triangle are congruent to two angles of another triangle, what can be concluded?

Back

The two triangles are similar, but not necessarily congruent.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If two right triangles have a congruent hypotenuse and one leg, what can be concluded?

Back

The two right triangles are congruent by the Hypotenuse-Leg (HL) theorem.

Front

What is the definition of the term 'congruent'?

Back

Congruent means having the same size and shape; in geometry, it refers to figures that can be made to coincide by rigid motions.