SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

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

Back

The triangles are congruent by the Angle-Angle (AA) criterion.

Front

What is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

If ∆XYZ ≅ ∆ABC, what can we say about side XY?

Back

Side XY is equal in length to side AB.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, meaning they have the same size and shape.

Front

If two triangles are congruent, what can be said about their areas?

Back

The areas of congruent triangles are equal.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have exactly the same size and shape, which means all corresponding sides and angles are equal.