Triangle Congruence Statements

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 symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

Name the three main triangle congruence postulates.

Back

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

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

What is the Angle-Angle-Angle (AAA) criterion?

Back

AAA does not prove triangle congruence; it only shows that triangles are similar.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

If two sides of one triangle are equal to two sides of another triangle and the included angle is equal, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

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

If ∆ISR ≅ ∆TRS, what can we say about the angles?

Back

∠I ≅ ∠T, ∠S ≅ ∠R, ∠R ≅ ∠S.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Angles that are in the same relative position in two different triangles.