SSS and SAS Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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 criterion for triangle congruence 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 congruency statement for triangles PQR and SUT if they are congruent by SAS?

Back

The congruency statement is \( \Delta PQR \cong \Delta TSU \).

Front

What is the congruency statement for triangles JLK and MNK if they are congruent by SAS?

Back

The congruency statement is \( \Delta JLK \cong \Delta MNK \).

Front

Can two triangles be congruent if they do not satisfy SSS or SAS?

Back

No, if two triangles do not satisfy SSS or SAS, they cannot be proven congruent.

Front

If two triangles have two sides equal and the angle between them is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

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

Back

The triangles are congruent by the SSS criterion.

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

What does it mean if triangles are 'Not Congruent'?

Back

It means that the triangles do not have the same shape or size, and cannot be made to coincide by any combination of rotations, translations, or reflections.

Front

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

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.