Question

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

Explanation:

Step1: Identify vertical angles

$\angle NJP=\angle KJM$ (vertical angles are equal).

Step2: Analyze side - side relationships

From the markings, $NP = KM$, $NJ=KJ$.

Step3: Apply congruence rule

We have two sides and the included angle (SAS: Side - Angle - Side) congruent. $\triangle NJP\cong\triangle KJM$ by SAS.

Answer:

SAS