AAS and ASA Triangle Congruence (3/22)

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangle congruence.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove triangle congruence.

Front

What is the SAS triangle congruence theorem?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the SSS triangle congruence theorem?

Back

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

Front

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

Back

No, knowing only two angles (SSA) does not guarantee triangle congruence.

Front

What is the difference between AAS and ASA?

Back

Both AAS and ASA involve two angles and a side, but in AAS, the side is not between the two angles, while in ASA, the side is between the two angles.

Front

What is the criteria for triangle congruence using AAS?

Back

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, the triangles are congruent.

Front

What is the criteria for triangle congruence using ASA?

Back

If two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS theorem.

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles means that the triangles have the same shape and size, allowing for the same measurements and properties.