SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

When can triangles be considered congruent using SSS?

Back

Triangles can be considered congruent using SSS when all three corresponding sides are equal in length.

Front

When can triangles be considered congruent using SAS?

Back

Triangles can be considered congruent using SAS when two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

What does 'Not Necessarily Congruent' mean in triangle congruence?

Back

'Not Necessarily Congruent' means that the triangles may not be congruent based on the given information, as there could be different configurations.

Front

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

Back

No, knowing only one side is not sufficient to determine congruence; at least two sides and the included angle (SAS) or all three sides (SSS) are needed.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it ensures that the two sides are positioned relative to each other in the same way in both triangles.

Front

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

Back

No, two triangles with two equal sides and a non-included angle are not necessarily congruent; this is known as the SSA condition.

Front

What is the SSA condition in triangle congruence?

Back

The SSA condition refers to having two sides and a non-included angle; it does not guarantee triangle congruence.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, measure all three sides of both triangles and show they are equal.