Triangle Congruence Theorems

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 congruent to two sides and the included angle of another triangle.

Front

What is the Reflexive Property of Equality (POE)?

Back

The Reflexive Property of Equality states that any geometric figure is congruent to itself, meaning that a side or angle is equal to itself.

Front

What are congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning all corresponding sides and angles are equal.

Front

How do you denote a triangle that is congruent to triangle CBA?

Back

You can denote it as triangle ZYX, where the corresponding vertices are matched.

Front

How do you denote a triangle that is congruent to triangle FUN?

Back

You can denote it as triangle MAN, where the corresponding vertices are matched.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the side between them in one triangle are congruent to two angles and the side between them in another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which helps in solving various geometric problems.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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