SSS, SAS, ASA & AAS Flashcard

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; two sides alone (SSA) do not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS does not require the included side to be known.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles may not be congruent unless a side is also known.

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is crucial because it directly connects the two sides, ensuring that the triangles are congruent.

Front

Is it possible to determine triangle congruence with SSA?

Back

No, SSA does not guarantee triangle congruence due to the possibility of two different triangles being formed.