Corresponding Parts of Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If \( \Delta XYZ \cong \Delta TRS \), which side corresponds to side YZ?

Back

RS

Front

Complete the congruence statement: If \( \Delta DEF \cong \Delta RST \), then \( \angle S \cong \) ____.

Back

\( \angle E \)

Front

True or False: All angles in similar figures are congruent (equal).

Back

True

Front

Which triangle is congruent to \( \Delta EDF \)? Is it \( \Delta ____ \)?

Back

\( \Delta BAC \)

Front

What is the Corresponding Parts of Congruent Triangles (CPCTC) theorem?

Back

CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we say about \( AB \) and \( DE \)?

Back

\( AB \cong DE \) (they are equal in length).

Front

What is the significance of the order of letters in triangle congruence?

Back

The order of letters indicates which vertices correspond to each other in the congruent triangles.

Front

If \( \Delta PQR \cong \Delta STU \), what can we conclude about \( \angle P \) and \( \angle S \)?

Back

\( \angle P \cong \angle S \) (they are equal in measure).

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles.