Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule used to prove that two triangles are congruent if two angles and a non-included side are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule used to prove that two triangles are congruent if two sides and the included angle are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

If ∆ABC ≅ ∆LMN, what can we say about their corresponding angles?

Back

The corresponding angles of the triangles are equal, meaning ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N.

Front

If two triangles have two pairs of equal angles, what can we conclude?

Back

The triangles are congruent by the AAS or ASA congruence rules.

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides must be equal in length for two triangles to be considered congruent.

Front

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

Back

No, at least two sides and the included angle or two angles and a side must be equal for congruence.

Front

What is the difference between congruence and similarity in triangles?

Back

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