Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side Side Side.

Front

What does the SSS postulate state?

Back

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

Front

What is the SAS 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 ASA 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 does the term 'corresponding parts' refer to in congruent triangles?

Back

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

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the sides AB and XY?

Back

AB ≅ XY.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size; congruent triangles are both the same shape and size.

Front

What does the term 'included angle' mean?

Back

The angle formed between two sides of a triangle.