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 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 is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, and it must be equal for the triangles to be congruent.

Front

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

Back

No, two triangles cannot be considered 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 'Not Congruent' mean in the context of triangles?

Back

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

Front

Provide an example of SSS congruence.

Back

If Triangle A has sides of lengths 5 cm, 7 cm, and 10 cm, and Triangle B also has sides of lengths 5 cm, 7 cm, and 10 cm, then Triangle A is congruent to Triangle B by SSS.

Front

Provide an example of SAS congruence.

Back

If Triangle A has sides of lengths 6 cm and 8 cm with an included angle of 60 degrees, and Triangle B has sides of lengths 6 cm and 8 cm with the same included angle of 60 degrees, then Triangle A is congruent to Triangle B by SAS.

Front

What is the difference between SSS and SAS?

Back

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