Triangle Congruence Theorems

Front

What is the AAA triangle congruence theorem?

Back

AAA (Angle-Angle-Angle) does not prove triangle congruence; it only shows that triangles are similar.

Front

What does the RHS triangle congruence theorem stand for?

Back

RHS stands for Right angle-Hypotenuse-Side, which is used to prove congruence in right triangles.

Front

Which triangle congruence theorem is used for proving congruence with two sides and the included angle?

Back

SAS (Side-Angle-Side) is used to prove triangle congruence when two sides and the included angle are known.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a theorem that proves triangle congruence when two angles and a non-included side are known.

Front

What is the SSS triangle congruence theorem?

Back

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

Front

Can SSA (Side-Side-Angle) be used to prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides, which is crucial for proving congruence.

Front

How does the AAS theorem differ from ASA?

Back

AAS (Angle-Angle-Side) includes a non-included side, while ASA (Angle-Side-Angle) includes the angle between the two sides.

Front

What is the relationship between similar triangles and the AAA theorem?

Back

AAA shows that triangles are similar (same shape) but does not prove they are congruent (same size).

Front

What is the condition for using the RHS theorem?

Back

The RHS theorem can only be used for right triangles, where one angle is 90 degrees.