SSS, SAS, ASA & AAS Flashcard

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides 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 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 is the HL postulate in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that states 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.

Front

If two triangles have three equal sides, what postulate can be used to prove they are congruent?

Back

The SSS postulate can be used to prove they are congruent.

Front

If two triangles have two sides and the included angle equal, what postulate can be used?

Back

The SAS postulate can be used to prove they are congruent.

Front

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

Back

The ASA postulate can be used to prove they are congruent.

Front

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

Back

The AAS postulate can be used to prove they are congruent.

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, at least two sides and the included angle or two angles and a side must be known to prove congruence.