Review for Triangle Congruence Flashcard

Front

What are the five ways to prove triangles congruent?

Back

SSS, ASA, AAS, SAS, HL

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: 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 does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: 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 does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

What is the significance of SSA in triangle congruence?

Back

SSA does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the relationship between two triangles if they have no congruence?

Back

No Relationship: The triangles do not have any sides or angles that are equal.

Front

If two triangles have two sides and the included angle equal, what postulate applies?

Back

SAS (Side-Angle-Side) postulate applies.

Front

If two triangles have two angles and a non-included side equal, what postulate applies?

Back

AAS (Angle-Angle-Side) postulate applies.