Geometry: 5.2-5.4 Triangle Congruence

Front

What is the SSA postulate in triangle congruence?

Back

SSA (Side-Side-Angle) is not a valid postulate for proving triangle congruence.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

What postulate is used to prove triangle congruence when two sides and the included angle are known?

Back

SAS (Side-Angle-Side) postulate.

Front

Which triangle congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent?

Back

SSS (Side-Side-Side) theorem.

Front

What does the ASA postulate stand for in triangle congruence?

Back

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

Front

What is the AAS postulate in triangle congruence?

Back

AAS (Angle-Angle-Side) states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two sides alone (SS) do not guarantee triangle congruence.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle between the two sides being considered for congruence.

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What does the term 'congruency statement' refer to?

Back

A congruency statement indicates which parts of two triangles are congruent, such as △ABC ≅ △DEF.