Question

what other information is need to prove △abc≅△qrs by asa congruence theorem? (2 points) ab≅qr ∠c ∠s ∠a ∠q ac 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 $\angle B$ in $\triangle ABC$ is $AB$ and for $\angle R$ in $\triangle QRS$ is $QR$. We also need the angles adjacent to the included - side.

Step3: Determine required angle

We need $\angle A\cong\angle Q$ because $\angle A$ is adjacent to $AB$ in $\triangle ABC$ and $\angle Q$ is adjacent to $QR$ in $\triangle QRS$.

Answer:

$\angle A\cong\angle Q$