Given that HG is the perpendicular bisector of JK, it means that
JG = KG
HG is common to triangles JGH and KGH
angle JGH and angle KGH are 90 degrees. They are congruent
Since 2 corresponding sides and an angle of triangles JGH and KGH are congruent, it means that the triangles are congruent. Thus,
HJ = HK
Option C is correct