Congruent Triangles Flashcard

Front

What is the definition of congruent triangles?

Back

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

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

What is the AAS congruence criterion?

Back

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

Front

What is the SSS congruence criterion?

Back

Side-Side-Side (SSS) 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 ASA congruence criterion?

Back

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

Front

Back

Front

Back

Front

What is the definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when the triangles are congruent.

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

The Hypotenuse-Leg (HL) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the importance of congruence statements in geometry?

Back

Congruence statements help to clearly communicate which parts of the triangles are equal, aiding in proofs and problem-solving.