Question

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

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle NPJ=\angle MKJ\) (vertical angles are congruent).

Step2: Analyze side - angle - side (SAS)

We know that \(NJ = MJ\) (given), \(\angle NPJ=\angle MKJ\) (from step 1), and \(PJ = KJ\) (given). So, by the Side - Angle - Side (SAS) congruence rule, \(\triangle NPJ\cong\triangle MKJ\).

Answer:

SAS