Triangle Congruence Statements Flashcard

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 triangle congruence criteria.

Back

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

Front

What does the notation ∆ABC ≅ ∆LMN signify?

Back

It signifies that triangle ABC is congruent to triangle LMN, meaning they have the same size and shape.

Front

What is the Side-Angle-Side (SAS) Congruence Criterion?

Back

The SAS Congruence Criterion 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 two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Criterion?

Back

The ASA Congruence Criterion 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 two triangles are congruent.

Front

What is the Side-Side-Side (SSS) Congruence Criterion?

Back

The SSS Congruence Criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does it mean if two triangles are similar but not congruent?

Back

It means that the triangles have the same shape but not necessarily the same size; their corresponding angles are equal, but their corresponding sides are in proportion.

Front

How can you determine if two triangles are congruent using corresponding parts?

Back

If all three pairs of corresponding sides and all three pairs of corresponding angles of two triangles are equal, then the triangles are congruent.

Front

What is the significance of the congruence statement ∆ISR ≅ ∆TRS?

Back

It indicates that triangles ISR and TRS are congruent, meaning they have the same size and shape.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.