Question

given the figure of triangles below with sides and angles as marked.
select the additional information that is required in order to know the triangles are congruent by side side side congruency.
$overline{rs}congoverline{dq}$
$overline{qd}congoverline{dr}$
$angle qrscongangle sdq$
no additional information is required.
$overline{qs}congoverline{dq}$

Explanation:

Step1: Recall SSS Congruence

SSS (Side - Side - Side) congruence states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Analyze the given sides

From the figure, we already have \(RQ\cong SD\) (marked with two - tick marks). Also, \(QS\) is a common side. For SSS congruence of \(\triangle RQS\) and \(\triangle DSQ\), we need \(RS\cong DQ\).

Answer:

\(\overline{RS}\cong\overline{DQ}\)