SSS, SAS, ASA & AAS Flashcard

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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 does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

Can two triangles be proven congruent with only one angle and one side?

Back

No, one angle and one side are not sufficient to prove triangle congruence. More information is needed.

Front

If two triangles have two angles equal and the side between them equal, what postulate can be used?

Back

The ASA postulate can be used to prove the triangles are congruent.

Front

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

Back

The AAS postulate can be used to prove the triangles are congruent.

Front

What is the significance of the included side in the SAS postulate?

Back

The included side is the side between the two angles being compared; it is crucial for establishing congruence.

Front

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

Back

Not necessarily; additional information, such as an angle, is needed to apply the congruence postulates.

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.