Triangle Congruence Proofs Vocab

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles are congruent by showing all three sides are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove right triangles are congruent by showing the hypotenuse and one leg are equal.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid motions.

Front

What is the significance of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are congruent, meaning if two triangles are congruent, all their corresponding sides and angles are equal.

Front

What is Reason D in triangle congruence?

Back

Reason D refers to ASA Congruence, which states that if two angles and the included side of one triangle are equal to those of another triangle, the triangles are congruent.

Front

What is Reason F in triangle congruence?

Back

Reason F states that corresponding parts of congruent triangles are congruent.

Front

Can you determine if triangles are congruent with SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.