Congruent Triangles Flashcard

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 SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a postulate stating that 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 does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a postulate stating that 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

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a postulate stating 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.

Front

What is the HL theorem in triangle congruence?

Back

Hypotenuse-Leg 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, the triangles are congruent.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

By showing that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using the SAS postulate?

Back

By showing that two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

By showing that two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.

Front

How can you prove triangles are congruent using the AAS postulate?

Back

By showing that two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle.