Triangle Congruence Postulates

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

The HL Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does SSS (Side-Side-Side) Congruence Postulate state?

Back

The SSS Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

Can AAA (Angle-Angle-Angle) prove triangle congruence?

Back

No, AAA does not prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle. It is crucial in postulates like ASA and SAS for proving triangle congruence.

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

You need to know one side length that is included between the two angles.

Front

What additional information is needed to prove triangles are congruent by HL?

Back

You need to know the lengths of the hypotenuse and one leg of the right triangle.

Front

What does it mean if two triangles are 'not necessarily congruent'?

Back

It means that while some conditions may be met, there is not enough information to definitively prove that the triangles are congruent.