SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is 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 two triangles are congruent.

Front

What is the SSS Triangle Congruence Theorem?

Back

The SSS Triangle Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS 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 two triangles are congruent.

Front

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

Back

No, two triangles cannot be proven congruent with only one side known; additional information is needed.

Front

What is the importance of the included angle in the SAS theorem?

Back

The included angle is crucial in the SAS theorem because it must be between the two sides being compared for the triangles to be congruent.

Front

What is a scenario where SSS can be applied?

Back

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

Front

What is a scenario where SAS can be applied?

Back

SAS can be applied when you know the lengths of two sides and the measure of the included angle of two triangles.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but may differ in size.