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

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

Back

If three sides of one triangle are equal to three sides of another triangle, 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

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

Back

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 is the Angle-Angle (AA) Similarity Postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (not necessarily congruent).

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another congruent triangle.

Front

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

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ and ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

What is the definition of a triangle?

Back

A polygon with three edges and three vertices.