Triangle Congruence (Unit 2)

Front

What is the AAS Theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) Theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What parts of the triangles must be marked for congruence via AAS Theorem?

Back

The angles must be marked, specifically the two angles and the non-included side.

Front

What does the HL Theorem stand for in triangle congruence?

Back

The HL (Hypotenuse-Leg) Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the SSS Theorem in triangle congruence?

Back

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

Front

What is the SAS Theorem in triangle congruence?

Back

The SAS (Side-Angle-Side) Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does AAA stand for in triangle congruence?

Back

AAA (Angle-Angle-Angle) indicates that if all three angles of one triangle are congruent to all three angles of another triangle, the triangles are similar, but not necessarily congruent.

Front

What is the significance of the term 'Not enough information' in triangle congruence?

Back

'Not enough information' indicates that the given data does not provide sufficient evidence to determine if the triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

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

Back

To prove congruence using the SSS Theorem, show that all three corresponding sides of the triangles are equal in length.

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the angles and sides of triangles that are matched up to determine congruence; they must be equal for the triangles to be congruent.