Question

select the triangle congruence theorem that proves these two triangles congruent, if possible. if they are not congruent, or there is not enough information, select neither. o aaa o sas o ass o sss

Explanation:

Step1: Identify congruent parts

In \(\triangle ABC\) and \(\triangle DCB\), we have \(AB = DC\) (marked with one - dash), \(\angle ABC=\angle DCB = 90^{\circ}\), and \(BC = CB\) (common side).

Step2: Recall congruence theorems

The Side - Angle - Side (SAS) congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Here, \(AB\) and \(BC\) with included \(\angle ABC\) in \(\triangle ABC\) are congruent to \(DC\) and \(CB\) with included \(\angle DCB\) in \(\triangle DCB\).

Answer:

B. SAS