Question

what other information is needed to prove \\( \triangle a b c \cong \triangle q r s \\) by asa congruence theorem? (1 point) \\( \overline{a c} \cong \overline{q s} \\) \\( \angle a \cong \angle q \\) \\( \angle c \cong \angle s \\) \\( \overline{a b} \cong \overline{q r} \\)

Explanation:

Step1: Recall ASA Congruence Theorem

ASA (Angle - Side - Angle) 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: Analyze given information

We are given that \(BC = RS=3\) in (side) and \(\angle B=\angle R\) (angle).

Step3: Determine the needed angle

For ASA, we need another pair of angles. The angles adjacent to the given sides \(BC\) and \(RS\) are \(\angle A\) and \(\angle Q\) respectively.

Answer:

\(\angle A\cong\angle Q\)