Corresponding Parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are angles and sides that are equal in measure when two triangles are congruent.

Front

If \( \Delta ABC \cong \Delta DEF \), which angle corresponds to \( \angle A \)?

Back

\( \angle D \) corresponds to \( \angle A \).

Front

In congruent triangles, how do you determine which sides correspond?

Back

The order of the vertices indicates which sides correspond. For example, if \( \Delta ABC \cong \Delta DEF \), then side \( AB \) corresponds to side \( DE \).

Front

What is the significance of the symbol \( \cong \)?

Back

The symbol \( \cong \) indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

If \( \Delta XYZ \cong \Delta TRS \), what is the corresponding side to \( YZ \)?

Back

The corresponding side to \( YZ \) is \( RS \).

Front

What can you conclude if two triangles are congruent?

Back

If two triangles are congruent, all corresponding angles and sides are equal.

Front

If \( \Delta ABC \cong \Delta DEF \), what is the corresponding angle to \( \angle C \)?

Back

The corresponding angle to \( \angle C \) is \( \angle F \).

Front

How do you write the congruence of triangles?

Back

You write the congruence of triangles by listing the vertices in corresponding order, such as \( \Delta ABC \cong \Delta DEF \).

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal in measure.

Front

If \( \Delta PQR \cong \Delta STU \), which side corresponds to side \( PQ \)?

Back

The side that corresponds to side \( PQ \) is side \( ST \).