Proving Triangles Congruent

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side are known.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle are known.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proving triangle congruence.

Front

What is the significance of Vertical Angles in triangle congruence?

Back

Vertical Angles are always congruent, which can help establish congruence between triangles when used with other congruence criteria.

Front

Can triangles be proven congruent using the AAA criterion?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence because it does not provide information about the sides.

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 relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also congruent.

Front

What is the importance of congruence in geometry?

Back

Congruence helps in establishing that two figures are identical in shape and size, which is fundamental in proofs and constructions.