Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

When can you say two triangles are congruent using the SSS theorem?

Back

You can say two triangles are congruent using the SSS theorem when all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the importance of the included angle in the SAS theorem?

Back

The included angle is crucial in the SAS theorem because it must be between the two sides being compared for the triangles to be considered congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; you need either the included angle (for SAS) or the third side (for SSS) to determine congruence.

Front

What does 'not enough information' mean in the context of triangle congruence?

Back

'Not enough information' means that the given data does not provide sufficient evidence to conclude that two triangles are congruent.

Front

Provide an example of when to use 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 by SSS, Triangle A is congruent to Triangle B.

Front

What is the difference between SAS and SSS?

Back

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

Front

What is the definition of an included angle?

Back

An included angle is the angle formed between two sides of a triangle.