The answer is the last choice.
In this question, there are not numbers or formulas so we just need to know the theory of triangles.
A) This option is true because of the is an isosceles and the angles given are congruent.
B) GJ is congruent HJ. In an isosceles, two sides measure the same and from the description and the picture we observe that these sides are GJ and HJ, so this option is correct.
C) KJ is perpendicular to GH. As KJ is a bisector, this line is perpendicular to GH. This option is true.
D) KJ is congruent to GH. KJ doesn't measure the same GH because we don't have enough informartion to suppert this statement. So this option is incorrect.