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, then 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, then the triangles are congruent.

Front

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices is important because it indicates which angles and sides correspond to each other in congruent triangles.

Front

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

Back

No, knowing only one side is not enough to prove triangle congruence; additional information about angles or other sides is needed.

Front

If two triangles have two pairs of equal sides and the included angle is also equal, what can be concluded?

Back

The triangles are congruent by the SAS theorem.

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

How can you prove that two triangles are congruent using the SSS theorem?

Back

To prove congruence using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the definition of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

The corresponding sides and angles of triangle ABC and triangle DEF are equal.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal and corresponding sides are equal.