Question

are these triangles congruent? if so, state the rule which you used to determine congruence. sas asa sss not congruent

Explanation:

Step1: Identify vertical angles

$\angle JGH=\angle KGM$ (vertical angles are equal).

Step2: Check for SAS congruence

We know that $\angle J=\angle M$ (given), $JG = KG$ (marked as equal), and $\angle JGH=\angle KGM$ (from Step 1). So, by the Side - Angle - Side (SAS) congruence rule, $\triangle JGH\cong\triangle KGM$.

Answer:

SAS