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 \( \Delta ABC \cong \Delta DEF \), what can we say about the corresponding sides?

Back

The corresponding sides are equal: \( AB = DE \), \( BC = EF \), and \( AC = DF \).

Front

In congruent triangles, how do we denote corresponding angles?

Back

If \( \Delta ABC \cong \Delta DEF \), then \( \angle A \cong \angle D \), \( \angle B \cong \angle E \), and \( \angle C \cong \angle F \).

Front

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

Back

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

Front

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

Back

Side YZ corresponds to side RS.

Front

If \( \Delta EHG \cong \Delta KFC \), which statement is true?

Back

EG \cong KC.

Front

How do you identify corresponding sides in congruent triangles?

Back

Corresponding sides are matched based on the order of the vertices in the congruence statement.

Front

If \( \Delta LMK \cong \Delta LMT \), what can we conclude about \( \angle K \)?

Back

\( \angle K \cong \angle T \).

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 \( \Delta ABC \cong \Delta DEF \), what can we say about \( \angle A \) and \( \angle D \)?

Back

\( \angle A \cong \angle D \).