SSS and 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 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

When can you use the SSS theorem?

Back

You can use the SSS theorem when you know the lengths of all three sides of two triangles.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle of two triangles.

Front

What is the difference between SSS and SAS?

Back

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

Front

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

Back

No, you need more information, such as additional sides or angles, to determine congruence.

Front

What is the conclusion if two triangles have two pairs of equal sides and the included angle is not equal?

Back

The triangles are not congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If two triangles are congruent, what can be said about their corresponding parts?

Back

Their corresponding parts (sides and angles) are equal.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important for proving properties of shapes, solving problems, and establishing relationships between different geometric figures.