Triangle Congruence

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 a corresponding non-included side of another triangle, the triangles are congruent.

Front

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

Back

The corresponding angles are congruent: ∠A ≅ ∠L, ∠B ≅ ∠M, ∠C ≅ ∠N.

Front

If ∆ABC ≅ ∆LMN, what can we say about the corresponding sides?

Back

The corresponding sides are congruent: AB ≅ LM, BC ≅ MN, AC ≅ LN.

Front

What is the significance of the congruency statement ∆ABC ≅ ∆LMN?

Back

It indicates that all corresponding sides and angles of the two triangles are equal, confirming their congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.