SSS, SAS, AAS, ASA, HL

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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

SAS stands for 'Side-Angle-Side', a criterion for triangle congruence 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 AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', a criterion for triangle congruence 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 does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a criterion for triangle congruence 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 HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', a criterion for triangle congruence 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

If two triangles have sides of lengths 5, 7, and 10, and another triangle has sides of lengths 5, 7, and 10, are the triangles congruent?

Back

Yes, the triangles are congruent by SSS.

Front

If triangle ABC has angles 30°, 60°, and 90°, and triangle DEF has angles 30°, 60°, and 90°, are the triangles congruent?

Back

Yes, the triangles are congruent by AAS.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

You need to know the lengths of two sides and the measure of the included angle.

Front

If triangle ABC is congruent to triangle XYZ, what can be said about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

If two angles of a triangle are 45° and 55°, what is the measure of the third angle?

Back

The third angle is 80° (since the sum of angles in a triangle is 180°).