Practice Triangle Congruence Theorems

Front

What is the AAA triangle congruence theorem?

Back

AAA (Angle-Angle-Angle) is NOT a triangle congruence theorem because it only shows that triangles are similar, not congruent.

Front

What does the SAS triangle congruence theorem state?

Back

SAS (Side-Angle-Side) states that 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 is the SSS triangle congruence theorem?

Back

SSS (Side-Side-Side) states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does the AAS triangle congruence theorem state?

Back

AAS (Angle-Angle-Side) states 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, then the triangles are congruent.

Front

What is the ASA triangle congruence theorem?

Back

ASA (Angle-Side-Angle) 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

Can AAA be used to prove triangle congruence?

Back

No, AAA can only prove similarity, not congruence.

Front

What additional information is needed to prove two triangles are congruent by ASA?

Back

You need to know two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

If two triangles have two sides equal and the included angle is not known, can we prove they are congruent?

Back

No, we cannot prove congruence without knowing the included angle.

Front

What is the relationship between triangle similarity and congruence?

Back

All congruent triangles are similar, but not all similar triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.