SSS and SAS

Front

What does SSS stand for?

Back

Side Side Side

Front

What does SAS stand for?

Back

Side Angle Side

Front

Which triangle congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent?

Back

SSS (Side Side Side) theorem.

Front

Which triangle congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent?

Back

SAS (Side Angle Side) theorem.

Front

If triangle ABC has sides of lengths 5, 7, and 9, and triangle DEF has sides of lengths 5, 7, and 9, are the triangles congruent?

Back

Yes, by SSS theorem.

Front

If triangle GHI has two sides of lengths 4 and 6, and an included angle of 60 degrees, and triangle JKL has two sides of lengths 4 and 6, and an included angle of 60 degrees, are the triangles congruent?

Back

Yes, by SAS theorem.

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 SAS be used to prove congruence if only two sides are known without the included angle?

Back

No, SAS requires the included angle to be known.

Front

If two triangles have two angles and one side equal, which theorem can be used to prove they are congruent?

Back

AAS (Angle Angle Side) theorem.

Front

What does ASA stand for in triangle congruence?

Back

Angle Side Angle.