Congruency

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 their corresponding sides and angles are equal.

Front

If \( \Delta ABC \cong \Delta NML \), which angle corresponds to \( \angle C \)?

Back

\( \angle L \)

Front

If \( \Delta ABC \cong \Delta NML \), which side corresponds to \( \overline{MN} \)?

Back

\( \overline{BA} \)

Front

What is the definition of corresponding sides in congruent figures?

Back

Corresponding sides are the sides in two or more figures that are in the same relative position.

Front

If \( \Delta ABC \cong \Delta EDF \), what is the corresponding side to \( \overline{CA} \)?

Back

\( \overline{FE} \)

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If two figures are congruent, what can be said about their perimeters?

Back

The perimeters of congruent figures are equal.

Front

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

Back

The symbol \( \cong \) indicates that two figures are congruent.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three pairs of corresponding sides are equal, the triangles are congruent (Side-Side-Side postulate).

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.