SSS & SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are congruent 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 theorem stating that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA congruence theorem?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS congruence theorem?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

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

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it only shows that triangles are similar, not necessarily congruent.

Front

What additional information is needed to prove triangles congruent using SSS?

Back

To use SSS, you need to know the lengths of all three sides of both triangles.

Front

What additional information is needed to prove triangles congruent using SAS?

Back

To use SAS, you need to know the lengths of two sides and the measure of the included angle of both triangles.

Front

What additional information is needed to prove triangles congruent using ASA?

Back

To use ASA, you need to know the measures of two angles and the length of the included side of both triangles.

Front

What additional information is needed to prove triangles congruent using AAS?

Back

To use AAS, you need to know the measures of two angles and the length of a non-included side of both triangles.