Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the symbol \( \cong \) represent in geometry?

Back

It indicates that two figures are congruent.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we conclude about their corresponding angles?

Back

\( \angle A \cong \angle D \), \( \angle B \cong \angle E \), and \( \angle C \cong \angle F \).

Front

If two triangles are congruent, what can we say about their corresponding sides?

Back

Their corresponding sides are equal in length.

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.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

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

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

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

Back

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

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

If \( \Delta QRY \cong \Delta JLS \), what is true about \( \angle RQY \) and \( \angle LJS \)?

Back

\( \angle RQY \cong \angle LJS \).