Question

what other information is need to prove △abc ≅ △qrs by asa congruence theorem? (2 points) ∠c ∠s ∠a ∠q (overline{ab}) (overline{qr}) (overline{ac}) (overline{qs})

Explanation:

Step1: Recall ASA Congruence Theorem

The ASA (Angle - Side - Angle) Congruence Theorem 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.

Step2: Identify given information

We are given that $\angle B\cong\angle R$ and $BC = RS=9$ in. The included side for $\angle B$ and another angle in $\triangle ABC$ is $AB$, and for $\angle R$ and another angle in $\triangle QRS$ is $QR$.

Step3: Determine needed information

To use the ASA Congruence Theorem, we need the angles adjacent to the given equal sides to be congruent. So we need $\angle A\cong\angle Q$.

Answer:

$\angle A\cong\angle Q$