September 12th Triangle Congruence Theorems

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the AAS theorem in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that 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 is the SSS theorem in triangle congruence?

Back

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

Front

What is the SAS theorem in triangle congruence?

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, then the triangles are congruent.

Front

What is the ASA theorem in triangle congruence?

Back

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

Front

What are the five ways to prove triangles congruent?

Back

The five ways to prove triangles congruent are SSS, SAS, ASA, AAS, and HL.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence.

Front

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

Back

Not necessarily; two sides and the included angle (SAS) or two angles and a side (AAS or ASA) are needed for congruence.

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 establishing congruence.

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.