SSS and SAS

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate 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 Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states 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 two triangles are congruent.

Front

What does 'included angle' mean in triangle congruence?

Back

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

Front

Which sides are included between Angle D and Angle E in triangle DEF?

Back

Side DE is the included side between Angle D and Angle E.

Front

Which sides are included between Angle Y and Angle Z in triangle XYZ?

Back

Side YZ is the included side between Angle Y and Angle Z.

Front

True or False: The angle formed between two sides is called the included angle.

Back

True.

Front

What is the difference between SSS and SAS?

Back

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

Front

Can the SSA condition prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that 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, then the triangles are congruent.

Front

What is the ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the triangles are congruent.