Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent when two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that 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 SSS stand for in triangle congruence?

Back

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

Front

What is the ASA theorem in triangle congruence?

Back

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

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

How can you prove two triangles are congruent using the SSS postulate?

Back

To prove two triangles are congruent using the SSS postulate, you must show that all three sides of one triangle are equal to the three sides of another triangle.

Front

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

Back

In the ASA theorem, the included angle is the angle between the two sides being considered, and it is crucial for establishing the congruence of the triangles.

Front

Can two triangles be congruent if only two sides are known?

Back

Yes, if the two sides and the included angle are known, the triangles can be proven congruent using the SAS (Side-Angle-Side) theorem.

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 between them.

Front

What is the criteria for using the HL theorem?

Back

The HL theorem can only be used for right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.