SSS and SAS

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

What is the first statement in the reason column of a proof?

Back

Given.

Front

Are two triangles with all three sides equal congruent by SSS?

Back

Yes.

Front

Are two triangles with two sides and the included angle equal congruent by SAS?

Back

Yes.

Front

If two triangles have two sides equal but the included angle is not equal, are they congruent by SAS?

Back

No.

Front

What is a congruence statement?

Back

A congruence statement is a statement that shows two geometric figures are congruent, such as ∆ABC ≅ ∆DEF.

Front

What is the importance of congruence in geometry?

Back

Congruence helps in proving that two shapes are identical in shape and size, which is essential for solving many geometric problems.

Front

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

Back

No, at least two sides and the included angle must be equal for congruence.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also equal.