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

What is the SSS Triangle Congruence Theorem?

Back

The SSS Triangle Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS Triangle Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the two triangles are congruent.

Front

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

Back

No, knowing only one side is not sufficient to prove triangle congruence; more information is needed.

Front

What is the importance of vertical angles in triangle congruence?

Back

Vertical angles are always equal, and they can be used in conjunction with other sides or angles to prove triangle congruence, particularly in SAS.

Front

If two triangles have two equal sides and the included angle is not known, can they be proven congruent?

Back

No, without the included angle, the triangles cannot be proven congruent using SAS.

Front

What is an example of using SSS to prove triangle congruence?

Back

If Triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and Triangle DEF also has sides of lengths 5 cm, 7 cm, and 9 cm, then Triangle ABC is congruent to Triangle DEF by SSS.

Front

What is an example of using SAS to prove triangle congruence?

Back

If Triangle XYZ has sides of lengths 4 cm and 6 cm with an included angle of 60 degrees, and Triangle PQR has sides of lengths 4 cm and 6 cm with the same included angle, then Triangle XYZ is congruent to Triangle PQR by SAS.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also equal.