Geometry 4.3 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

How can you determine if two triangles are congruent using SSS?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent by SSS.

Front

How can you determine if two triangles are congruent using SAS?

Back

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 by SAS.

Front

What is the difference between SSS and SAS in triangle congruence?

Back

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

Front

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle must be equal (SAS) or all three sides must be equal (SSS).

Front

What does it mean if two triangles are not congruent by SSS or SAS?

Back

It means that the triangles do not have the same size and shape, and their corresponding sides and angles are not equal.

Front

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

Back

No, they are not necessarily congruent; this situation does not meet the criteria for SAS.

Front

What is the importance of the included angle in SAS?

Back

The included angle is crucial in SAS because it ensures that the two triangles are positioned in the same way, leading to congruence.

Front

Can you have congruent triangles with two equal angles and a non-equal side?

Back

No, having two equal angles and a non-equal side does not guarantee congruence; it may lead to similar triangles instead.