Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two geometric figures are congruent.

Front

What are the three main criteria for triangle congruence?

Back

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

Front

If ∆ABC ≅ ∆LMN, what can we say about their corresponding sides?

Back

The corresponding sides of the triangles are equal: AB ≅ LM, BC ≅ MN, AC ≅ LN.

Front

What is the Angle-Angle-Side (AAS) Congruence Postulate?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Angle (SSA) condition?

Back

SSA does not guarantee triangle congruence; it can lead to ambiguous cases where two different triangles can be formed.

Front

How do you determine corresponding angles in congruent triangles?

Back

Corresponding angles are the angles that are in the same relative position in each triangle.

Front

What is the significance of the order of vertices in triangle notation?

Back

The order of vertices indicates which angles and sides correspond to each other in congruent triangles.

Front

If ∠E ≅ ∠A, what can we conclude about triangles that include these angles?

Back

If two triangles have one pair of equal angles, they may be congruent, but additional information is needed to confirm.

Front

What is the definition of a corresponding side in congruent triangles?

Back

Corresponding sides are the sides that are opposite the corresponding angles in congruent triangles.