SSS SAS Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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 definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

When can you use the SSS theorem?

Back

You can use the SSS theorem when you know the lengths of all three sides of two triangles and want to prove they are congruent.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle of two triangles to prove they are congruent.

Front

What is the difference between SSS and SAS?

Back

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

Front

What does 'not enough information' mean in triangle congruence?

Back

'Not enough information' means that the given data is insufficient to determine if the triangles are congruent using any of the theorems.

Front

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

Back

No, knowing only one side is not sufficient to prove triangle congruence; more information is needed.

Front

What is an example of using the SSS theorem?

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

What is an example of using the SAS theorem?

Back

If Triangle A has sides of lengths 6 cm and 8 cm with an included angle of 50 degrees, and Triangle B has sides of lengths 6 cm and 8 cm with the same included angle, then Triangle A is congruent to Triangle B by SAS.