Geometry 4.3 SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 criterion for triangle congruence 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 criterion 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 criterion 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

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle must be equal (SAS) or all three sides must be equal (SSS).

Front

If two triangles have two sides equal and the included angle is not equal, are they congruent?

Back

No, they are not congruent. The SAS criterion requires the included angle to be equal.

Front

What is the difference between SSS and SAS in triangle congruence?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

If triangle A has sides of lengths 5, 7, and 10, and triangle B has sides of lengths 5, 7, and 10, are they congruent?

Back

Yes, triangle A and triangle B are congruent by SSS.

Front

If triangle A has sides of lengths 5, 7, and an included angle of 60 degrees, and triangle B has sides of lengths 5, 7, and an included angle of 60 degrees, are they congruent?

Back

Yes, triangle A and triangle B are congruent by SAS.

Front

What does it mean if two triangles are not congruent by SSS or SAS?

Back

It means that the triangles do not have the same size and shape; they may differ in at least one side length or angle.