Triangle Congruence

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 ASA triangle congruence theorem?

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 included side of another triangle, then 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, then the triangles are congruent.

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, then the triangles are congruent.

Front

What is the AAS triangle congruence theorem?

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 SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and is known as the ambiguous case.

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

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

Back

By showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

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

Back

By showing that two angles and a corresponding non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

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

Back

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.