Question

what other information is needed to prove that △abc ≅ △qrs by asa congruence theorem? (1 point)
ac ≅ qs
ab ≅ qr
∠c ≅ ∠s
bc ≅ rs

Explanation:

Step1: Recall ASA Congruence Theorem

ASA (Angle - Side - Angle) requires two pairs of congruent angles and the included side between them to be congruent.

Step2: Identify given angles

We can see that one pair of angles at \(A\) and \(Q\) and one pair of angles at \(B\) and \(R\) seem to be congruent (marked by the arcs).

Step3: Determine the needed side

The included sides for the given pairs of angles are \(AB\) and \(QR\). For \(\triangle ABC\cong\triangle QRS\) by ASA, we need \(\overline{AB}\cong\overline{QR}\).

Answer:

\(\overline{AB}\cong\overline{QR}\)