Triangle Congruence - SAS & SSS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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.

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.

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.

Front

What is the difference between SSS and SAS?

Back

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

Front

Can you use SSS if only two sides are known?

Back

No, SSS requires all three sides to be known to prove congruence.

Front

Can you use SAS if the angle is not included between the two sides?

Back

No, SAS requires the angle to be included between the two sides.

Front

What is the conclusion if two triangles have two sides and the included angle equal?

Back

The triangles are congruent by the SAS theorem.

Front

What is the conclusion if two triangles have all three sides equal?

Back

The triangles are congruent by the SSS theorem.

Front

If two triangles have two sides equal and a non-included angle equal, can you conclude they are congruent?

Back

No, you cannot conclude they are congruent; you need the included angle for SAS.