SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate 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 postulate 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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, then the triangles are congruent.

Front

Can AAA be used to prove triangle congruence? Why or why not?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

What is the significance of congruency statements in triangles?

Back

Congruency statements indicate that two triangles are congruent, meaning all corresponding sides and angles are equal.

Front

If two triangles are congruent, what can be said about their corresponding angles and sides?

Back

If two triangles are congruent, their corresponding angles are equal and their corresponding sides are equal in length.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the purpose of using triangle congruence postulates?

Back

Triangle congruence postulates are used to determine whether two triangles are congruent based on their sides and angles.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.