Understanding Triangle Congruency

Front

What does it mean if \( \triangle ABC \cong \triangle DEF \)?

Back

It means that triangle ABC is congruent to triangle DEF, indicating that their corresponding sides and angles are equal.

Front

Which side corresponds to \( BC \) in \( \triangle ABC \cong \triangle DEF \)?

Back

The side corresponding to \( BC \) is \( EF \).

Front

What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the SSS congruence criterion?

Back

The SSS (Side-Side-Side) criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

The SAS (Side-Angle-Side) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Congruent triangles have the same shape and size, meaning their corresponding sides and angles are equal.

Front

If \( \triangle ABC \cong \triangle DEF \), what can be said about \( \angle A \) and \( \angle D \)?

Back

It can be said that \( \angle A = \angle D \).

Front

What is the AAA criterion? Is it valid for triangle congruence?

Back

The AAA (Angle-Angle-Angle) criterion states that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

What is the relationship between the areas of congruent triangles?

Back

Congruent triangles have the same area.

Front

What is the relationship between the perimeters of congruent triangles?

Back

Congruent triangles have the same perimeter.