Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check congruence criteria

We have two triangles \( \triangle JKG\) and \( \triangle JHG\).
We know that \( JK = JH\) (marked with one tick), \( \angle K=\angle H\) (marked with red arcs), and \( JG = JG\) (common side).

Step2: Apply SAS congruence rule

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, the triangles are congruent.
Here, in \( \triangle JKG\) and \( \triangle JHG\), \( JK = JH\), \( \angle K=\angle H\), \( JG = JG\). So, \( \triangle JKG\cong\triangle JHG\) by SAS.

Answer:

yes