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 AAS and ASA?

Back

AAS can be derived from ASA; both lead to triangle congruence.

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using SSS?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.