SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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

When can you use the SSS theorem?

Back

You can use the SSS theorem when you know the lengths of all three sides of two triangles and want to prove they are congruent.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle of two triangles to prove they are congruent.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

Can you prove triangles are congruent with only two sides?

Back

No, you need either the third side (SSS) or the included angle (SAS) to prove congruence.

Front

What is an example of using the SAS theorem?

Back

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and angle A = 60 degrees, and triangle DEF has sides DE = 5 cm, DF = 7 cm, and angle D = 60 degrees, then triangles ABC and DEF are congruent by SAS.

Front

What is an example of using the SSS theorem?

Back

If triangle GHI has sides GH = 4 cm, HI = 5 cm, GI = 6 cm, and triangle JKL has sides JK = 4 cm, KL = 5 cm, JL = 6 cm, then triangles GHI and JKL are congruent by SSS.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem 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

AAS stands for Angle-Angle-Side, a theorem 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.