Triangle Congruence Practice #3

Front

Back

Front

What is the AAS triangle congruence theorem?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the definition of the SSS triangle congruence theorem?

Back

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

Front

What does HL stand for in triangle congruence?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

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

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles indicate that the triangles may be similar or congruent, depending on the other sides and angles.

Front

How can you prove triangles are congruent using the SSS theorem?

Back

By showing that all three corresponding sides of the triangles are equal in length.

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 does it mean for triangles to be not congruent?

Back

It means that the triangles do not have the same size and shape, and their corresponding sides and angles are not equal.