Triangle Congruence Postulates

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle, a postulate used to prove two triangles are congruent if two angles and the included side are known.

Front

What is the AAS triangle congruence postulate?

Back

Angle-Angle-Side, a postulate that states 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 does SSS stand for in triangle congruence?

Back

Side-Side-Side, a postulate that states if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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 triangle congruence?

Back

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

Front

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

Back

No, additional information such as angles or other sides is needed to determine congruence.

Front

What is the criteria for triangle congruence using the Hypotenuse-Leg (HL) theorem?

Back

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

Front

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

Back

It means that there is not enough information to conclude that the triangles are congruent based on the given data.

Front

What is the difference between AAS and ASA?

Back

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

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is fundamental in proving properties of geometric figures, solving problems, and establishing relationships between shapes.