SSS & SAS

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 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 that states 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 SAS Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides of a triangle are congruent to two sides of another triangle, and the angles between those sides are also congruent, then the triangles are congruent.

Front

How can you determine if triangles are congruent using SSS?

Back

To determine if triangles are congruent using SSS, check if all three corresponding sides of the triangles are equal in length.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of ΔABC ≅ ΔDEF.

Front

What does it mean if two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared; it must be congruent for the triangles to be proven congruent.

Front

What is the difference between SAS and ASA?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be congruent, while ASA (Angle-Side-Angle) requires two angles and the included side to be congruent.

Front

What does the notation ΔABC ≅ ΔDEF indicate?

Back

The notation ΔABC ≅ ΔDEF indicates that triangle ABC is congruent to triangle DEF, meaning all corresponding sides and angles are equal.

Front

What is the AAS Congruence Theorem?

Back

The AAS Congruence Theorem states 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.