Question

which rule explains why these triangles are congruent? sas sss asa these triangles cannot be proven congruent.

Explanation:

Step1: Analyze the sides of the triangles

In \(\triangle PQN\) and \(\triangle SQN\), \(PQ = SQ\) (marked with two - tick marks), \(PN=SN\) (marked with one - tick mark), and \(QN = QN\) (common side).

Step2: Recall the congruence rules

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

Answer:

SSS