Flashcard: 4b.1

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid transformations such as translation, rotation, or reflection.

Front

What does the symbol '≅' represent?

Back

The symbol '≅' represents that two geometric figures are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles and sides?

Back

The corresponding angles and sides of ∆ABC and ∆DEF are equal.

Front

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

Back

The order of vertices in congruence statements is important because it indicates which angles and sides correspond to each other.

Front

How do you denote the congruence of two triangles?

Back

To denote the congruence of two triangles, you write the triangle names in the order of their corresponding vertices, followed by the symbol '≅'.

Front

What is a corresponding angle in congruent triangles?

Back

A corresponding angle in congruent triangles is an angle that is in the same position in each triangle.

Front

What is a corresponding side in congruent triangles?

Back

A corresponding side in congruent triangles is a side that is in the same position in each triangle.

Front

If ∆XYZ ≅ ∆KLM, what is the corresponding angle to ∠Y?

Back

The corresponding angle to ∠Y is ∠L.

Front

What is the relationship between the sides of congruent triangles?

Back

The sides of congruent triangles are equal in length.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size, and their corresponding angles and sides are not equal.