Triangle Congruence 2

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion used to determine if two right triangles are congruent.

Front

What is the ASA congruence rule?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SSS congruence rule?

Back

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

Front

If ΔABC ≅ ΔXYZ, what can be said about their corresponding angles?

Back

The corresponding angles of the triangles are congruent, meaning ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the significance of the included angle in the ASA rule?

Back

The included angle is the angle between the two sides being considered; it is crucial for establishing congruence in the ASA rule.

Front

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

Back

No, at least two sides and the included angle or two angles and the included side must be known to establish congruence.

Front

What is the difference between AAS and ASA?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

What is the importance of the congruence postulates in geometry?

Back

Congruence postulates provide criteria to determine if two triangles are congruent, which is essential for solving many geometric problems.