SSS & SAS Triangle Congruence

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, then 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, then the triangles are congruent.

Front

What is the importance of order in triangle congruence?

Back

The order of the vertices matters in triangle congruence; corresponding angles and sides must match in the same sequence.

Front

If two triangles have two sides equal and the included angle equal, what can be concluded?

Back

The triangles are congruent by the SAS theorem.

Front

If two triangles have three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS theorem.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides and the included angle must be equal for the triangles to be 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

What is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Angle (SSA) condition?

Back

SSA does not guarantee triangle congruence; it can lead to ambiguous cases where two different triangles can be formed.