Triangle Congruence Review

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 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 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 is the HL Theorem?

Back

The HL Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

If triangle LMN is congruent to triangle WZY, which angles are congruent?

Back

If triangle LMN ≅ triangle WZY, then ∠LMN ≅ ∠WZY, ∠MNO ≅ ∠ZYX, and ∠NLM ≅ ∠YZW.

Front

What additional information is needed to prove congruence by HL?

Back

To prove congruence by HL, you need to show that the lengths of the legs of the right triangles are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles have the same size and shape (equal sides and angles), while similar triangles have the same shape but not necessarily the same size (proportional sides and equal angles).

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that their corresponding sides and angles are not equal, indicating a difference in size or shape.