Nhat other information is needed to prove AABC = AQRS by ASA Congruence Theorem?

Question

(1 point)
O L0 E LS
O ABEQR
O LA= LQ

Answer 1

To prove that triangles AABC and AQRS are congruent by the ASA (Angle-Side-Angle) Congruence Theorem, we need two angles and the side between them to be congruent in both triangles.

Among the options you provided, the correct information needed would be:

O LA = LQ

This indicates that the angles at points A and Q are congruent. Since we also need another angle and the included side congruent, you'll also need information about another pair of angles or the included side to complete the proof.

If you have the side (for example, AB = AQ or similar) and another angle in either triangle that is congruent to its counterpart, you can then conclude the congruence of triangles AABC and AQRS using the ASA theorem.