Triangle Congruence 2

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

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

Front

What additional information is required for two triangles to be congruent by ASA?

Back

The lengths of the sides that are included between the two angles must be equal.

Front

What is the Angle-Angle-Side (AAS) Congruence Postulate?

Back

The AAS Congruence Postulate states that if two angles and a non-included side of one triangle are congruent to two angles and a corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What additional information is required for two triangles to be congruent by AAS?

Back

The lengths of the non-included sides must be equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using the SSS (Side-Side-Side) Congruence Postulate?

Back

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

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are in the same relative position in each triangle.

Front

If ∆AIG ≅ ∆QOW, what can be concluded about the corresponding sides?

Back

The corresponding sides of the triangles are equal in length.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle, and it is crucial for determining congruence using ASA.

Front

What is the significance of the non-included side in triangle congruence?

Back

The non-included side is the side that is not between the two angles, and it is crucial for determining congruence using AAS.