Triangle Congruence Statements

Front

What is a Triangle Congruence Statement?

Back

A statement that indicates two triangles are congruent, meaning they have the same size and shape.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

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

Back

AB ≅ XY.

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, with corresponding sides and angles that are equal.

Front

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

Back

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

Front

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

Back

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

Front

How can you denote congruent angles in a triangle?

Back

Using the symbol '≅' to indicate that the angles have the same measure.

Front

What is the purpose of a congruence statement?

Back

To express that two geometric figures are congruent, providing a clear relationship between their corresponding parts.