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 JLK and MNK if they are congruent by SAS?

Back

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

Front

If two triangles have all three sides equal, which congruence criterion applies?

Back

The SSS (Side-Side-Side) criterion applies.

Front

If two triangles have two sides equal and the angle between them equal, which congruence criterion applies?

Back

The SAS (Side-Angle-Side) criterion applies.

Front

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

Back

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

Front

What is the conclusion if two triangles are not congruent?

Back

If two triangles are not congruent, it means that their corresponding sides and angles do not match in measure.

Front

How can you determine if triangles are congruent using SSS?

Back

Measure all three sides of both triangles; if all three pairs of corresponding sides are equal, the triangles are congruent by SSS.

Front

How can you determine if triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles; if the two sides and the angle are equal, the triangles are congruent by SAS.

Front

What is an example of triangles that are congruent by SSS?

Back

If Triangle ABC has sides of lengths 5, 7, and 9, and Triangle DEF also has sides of lengths 5, 7, and 9, then \( \Delta ABC \cong \Delta DEF \) by SSS.