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 abbreviation 'SAS' stand for in triangle congruence?

Back

Side-Angle-Side: A triangle congruence criterion 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 the abbreviation 'SSS' stand for in triangle congruence?

Back

Side-Side-Side: A triangle congruence criterion stating that if all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Front

What does the abbreviation 'ASA' stand for in triangle congruence?

Back

Angle-Side-Angle: A triangle congruence criterion 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 the abbreviation 'AAS' stand for in triangle congruence?

Back

Angle-Angle-Side: A triangle congruence criterion stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What does the abbreviation 'HL' stand for in triangle congruence?

Back

Hypotenuse-Leg: A triangle congruence criterion applicable to right triangles, stating that if the hypotenuse and one leg of one 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 SAS theorem?

Back

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

Front

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

Back

By demonstrating that all three sides of one triangle are equal to all three sides of another triangle.

Front

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

Back

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

Front

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

Back

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