Triangle Congruence Proofs

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 the Reflexive Property state in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the first reason typically used in a triangle proof?

Back

The first reason is usually 'Given', which states the information provided in the problem.

Front

What symbol is used to denote congruence between two triangles?

Back

The symbol used to denote congruence is '≅'.

Front

What is the purpose of a triangle congruence proof?

Back

The purpose is to demonstrate that two triangles are congruent using specific criteria and properties.

Front

What is the importance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means that if triangles are proven congruent, all their corresponding sides and angles are also congruent.

Front

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

Back

ASA states 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 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, the triangles are congruent.