Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Front

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

Back

The triangles are congruent by the AAS or ASA criteria.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent by SSS.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

If ∠A ≅ ∠B and ∠C ≅ ∠D, what can be inferred about triangles ABC and DEF?

Back

If the triangles also have a congruent side between these angles, they can be proven congruent by AAS or ASA.