Triangle Congruence Theorems: ASA or AAS?

Which statement correctly describes the Angle-Side-Angle (ASA) congruence theorem?

• Two angles and a non-included side are congruent.

• Two sides and the included angle are congruent.

• Two angles and the included side are congruent.

• Three sides are congruent.

According to the Angle-Angle-Side (AAS) congruence theorem, what is the arrangement of congruent parts?

• Two angles and the included side are congruent.

• Two angles and a non-included side are congruent.

• Two sides and the included angle are congruent.

• Three angles are congruent.

What is the key difference between the Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS) congruence theorems?

• ASA requires three congruent angles, while AAS requires two.

• ASA involves an included side, while AAS involves a non-included side.

• ASA applies to right triangles only, while AAS applies to all triangles.

• ASA proves similarity, while AAS proves congruence.

If two triangles have two pairs of congruent angles and one pair of congruent sides, and the congruent side is not located between the two congruent angles, which congruence theorem would be used to prove their congruence?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)