SSS and SAS

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 two 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 two triangles are congruent.

Front

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices is important because it indicates which angles and sides correspond to each other in congruent triangles.

Front

If two triangles have two sides equal and the included angle equal, what can we conclude?

Back

We can conclude that the two triangles are congruent by the SAS theorem.

Front

If two triangles have three sides equal, what can we conclude?

Back

We can conclude that the two triangles are congruent by the SSS theorem.

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

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

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or all three sides must be equal.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.

Front

What is an example of a triangle congruence statement?

Back

An example of a triangle congruence statement is △ABC ≅ △DEF, indicating that triangle ABC is congruent to triangle DEF.