Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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 criterion for triangle congruence 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 does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a criterion for triangle congruence stating 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 does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', a criterion for triangle congruence stating 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, the triangles are congruent.

Front

What is the significance of the congruence statement PRC?

Back

The congruence statement PRC indicates that triangle P is congruent to triangle R and triangle C, meaning all corresponding sides and angles are equal.

Front

If ∠E ≅ ∠A, what does this imply?

Back

This implies that angle E is congruent to angle A, meaning they have the same measure.

Front

Can triangles be congruent if they only share one angle?

Back

No, triangles cannot be determined to be congruent based solely on one angle; additional information about sides or other angles is needed.

Front

What is the AAA criterion?

Back

AAA stands for 'Angle-Angle-Angle', which states that if all three angles of one triangle are equal to all three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.