SAS Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side.

Front

In a congruency statement ΔABC ≅ ΔXYZ, what does ∠C correspond to?

Back

∠C corresponds to ∠Z.

Front

What is the SAS postulate used for in geometry?

Back

The SAS postulate is used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

What is the relationship between the sides of two congruent triangles?

Back

The corresponding sides of two congruent triangles are equal in length.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared, and it is crucial for establishing congruence.

Front

If ΔABC ≅ ΔXYZ, what can be concluded about side AB?

Back

Side AB is congruent to side XY.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence between two geometric figures.

Front

Can two triangles be congruent if only one side and two angles are known?

Back

No, the SAS postulate requires two sides and the included angle to establish congruence.

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.