SSS and 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, 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

What is the SSS Congruence Theorem?

Back

The SSS 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 Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; you need either the included angle (SAS) or all three sides (SSS) to prove congruence.

Front

What is the importance of the included angle in SAS?

Back

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

Front

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

Back

No, having two equal sides and a non-included angle does not guarantee triangle congruence.

Front

What is an example of SSS in real life?

Back

An example of SSS is when two triangular pieces of wood are cut to the same lengths for a construction project, ensuring they will fit together perfectly.

Front

What is an example of SAS in real life?

Back

An example of SAS is when two triangular sails on a boat are designed with two sides of equal length and the angle between them is fixed to ensure they are congruent.

Front

What does 'not enough information' mean in triangle congruence?

Back

'Not enough information' means that the given data is insufficient to determine if the triangles are congruent, such as having only one side length.