Triangle Congruency: SSS & SAS

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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 congruency?

Back

SAS stands for 'Side-Angle-Side', a criterion for triangle congruence 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

If \( \Delta ABC \cong \Delta DEF \), what can be inferred about the sides?

Back

The corresponding sides of the triangles are equal: \( AB \cong DE \), \( BC \cong EF \), and \( AC \cong DF \).

Front

What is the criterion for triangle congruence if two sides and the included angle are known?

Back

The criterion is SAS (Side-Angle-Side).

Front

If two triangles have two pairs of equal sides and a pair of non-included angles, are they congruent?

Back

No, they are not necessarily congruent; this is known as SSA (Side-Side-Angle) and does not guarantee congruence.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

If \( AB \cong XY \) and \( AC \cong XZ \), what can be concluded about \( \Delta ABC \) and \( \Delta XYZ \)?

Back

If the included angle \( \angle A \cong \angle X \), then \( \Delta ABC \cong \Delta XYZ \) by SAS.

Front

What is the significance of the order of vertices in triangle congruence notation?

Back

The order of vertices indicates which angles and sides correspond to each other in the congruent triangles.

Front

If \( \Delta ABC \cong \Delta XYZ \), what is true about \( BC \) and \( YZ \)?

Back

It is true that \( BC \cong YZ \) as they are corresponding sides of the congruent triangles.

Front

What does it mean if two triangles are not congruent?

Back

It means that the triangles do not have the same size and shape; their corresponding sides and angles are not equal.