Triangles & Congruence

Front

What does SAS stand for?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence.

Front

What is the congruence statement for triangles if \( \Delta ABC \cong \Delta DEF \)?

Back

If \( \Delta ABC \cong \Delta DEF \), then corresponding parts are congruent, such as \( \angle C \cong \angle F \).

Front

If \( \angle E \cong \angle A \), what can we conclude about these angles?

Back

If \( \angle E \cong \angle A \), then they are equal in measure.

Front

Given \( \Delta ABC \cong \Delta DEF \), what is \( \angle C \cong ? \)

Back

\( \angle C \cong \angle F \) because corresponding angles in congruent triangles are equal.

Front

Are these triangles congruent? If so, state the rule which you used to determine congruence: \( \Delta ABC \) and \( \Delta DEF \) with \( AB = DE, \angle A = \angle D, AC = DF \).

Back

Yes, they are congruent by ASA (Angle-Side-Angle) rule.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence.

Front

What is the difference between SAS and SSS in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while SSS (Side-Side-Side) requires all three sides to be equal.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The two triangles are congruent by the AA (Angle-Angle) criterion.

Front

What is the Side-Angle-Angle (SAA) criterion?

Back

The SAA criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.