Question

2 * yes, sss yes, asa yes, sas no

Explanation:

Step1: Analyze the given information

We know that \(CA\parallel DB\) (from the arrow marks), so \(\angle ACR=\angle DRC\) (alternate - interior angles). Also, \(CA = DB\) (given by the single tick marks) and \(CR = CR\) (common side).

Step2: Apply the congruence criterion

By the Side - Angle - Side (SAS) congruence criterion, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. Here, in \(\triangle CAR\) and \(\triangle DBR\), \(CA = DB\), \(\angle ACR=\angle DRC\), \(CR = CR\).

Answer:

yes, SAS