Final answer:
The perpendicular bisector of a line segment in a kite shape divides it into two equal segments. So, the correct answer is b) 12.
Step-by-step explanation:
In a kite shape, the perpendicular bisector of one pair of opposite sides will meet at the right angle and also bisect the other pair of opposite sides.
Therefore, if GH is the perpendicular bisector of the line segment JK and JK is part of a kite shape, then GH must bisect JK into two equal segments.
Since JK is 24 units long, GH will be half of that, which is 12 units.
So, the correct answer is b) 12.