Corresponding Parts, SSS and SAS

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 equal to three sides of another triangle, 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 equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the importance of order in triangle congruence?

Back

The order of the vertices matters in triangle congruence; corresponding parts must be matched correctly to establish congruence.

Front

How can you determine if two triangles are congruent using SSS?

Back

To determine if two triangles are congruent using SSS, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆DEF, what can be inferred about their corresponding parts?

Back

If ∆ABC ≅ ∆DEF, then AB = DE, AC = DF, and angle A = angle D, along with all other corresponding parts being equal.

Front

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

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS). Otherwise, the triangles may not be congruent.

Front

What is the criteria for triangle congruence using AAS?

Back

AAS stands for Angle-Angle-Side, which states that 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, the triangles are congruent.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, indicating that two geometric figures are congruent in shape and size.

Front

How can you prove triangles are not congruent?

Back

To prove triangles are not congruent, show that at least one pair of corresponding sides or angles is not equal.