Congruent Triangles

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 ASA stand for in triangle congruence?

Back

Angle-Side-Angle, a postulate used to prove triangles are congruent when two angles and the included side are known.

Front

What is the SAS postulate?

Back

Side-Angle-Side, a postulate 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 AAS postulate?

Back

Angle-Angle-Side, a postulate that states 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, the triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we say about ∠A and ∠D?

Back

∠A ≅ ∠D, corresponding angles of congruent triangles are equal.

Front

What is the importance of the order of vertices in triangle congruence?

Back

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

Front

If two triangles have two pairs of equal angles, what can we conclude?

Back

The triangles are congruent by the AAS postulate.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Sides that are in the same relative position in two congruent triangles.

Front

If ∆XYZ ≅ ∆ABC, what can we say about side XY and side AB?

Back

XY = AB, corresponding sides of congruent triangles are equal.

Front

What is the definition of the included angle in triangle congruence?

Back

The angle formed between two sides of a triangle.