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 criteria for triangle congruence using SSS?

Back

If three sides of triangle A are equal to three sides of triangle B, then triangle A is congruent to triangle B.

Front

What is the criteria for triangle congruence using SAS?

Back

If two sides and the angle between them in triangle A are equal to two sides and the angle between them in triangle B, then triangle A is congruent to triangle B.

Front

If ΔXYZ ≅ ΔCAB, what can be inferred about their corresponding parts?

Back

The corresponding parts of the triangles are equal, meaning XY = CA, YZ = AB, and ZX = BC.

Front

How can you prove two triangles are congruent using AAS?

Back

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 is the importance of corresponding angles in triangle congruence?

Back

Corresponding angles must be equal for triangles to be congruent, as they ensure the triangles maintain the same shape.

Front

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

Back

No, at least two sides and the included angle must be equal for the triangles to be congruent.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have the same area because they are identical in shape and size.

Front

If ∠E ≅ ∠A, what does this indicate about triangles that include these angles?

Back

It indicates that the triangles may be congruent if other corresponding parts are also equal.