Triangle Congruence

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

List the three main criteria for triangle congruence.

Back

1. SSS (Side-Side-Side) Congruence 2. SAS (Side-Angle-Side) Congruence 3. ASA (Angle-Side-Angle) Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are equal 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 states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the significance of corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, which helps in establishing the congruence of the triangles.

Front

If ΔBCA ≅ ΔYZX, what can be said about the corresponding sides?

Back

The corresponding sides of ΔBCA and ΔYZX are equal in length.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal, meaning that each angle in one triangle corresponds to an equal angle in the other triangle.

Front

How can you determine if two triangles are not congruent?

Back

Two triangles are not congruent if their corresponding sides or angles do not match in length or measure.

Front

What is the Angle-Angle-Angle (AAA) criterion? Does it prove triangle congruence?

Back

The AAA criterion states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.