The correct option is 2. The length of JG is 5 units.
Step-by-step explanation:
Given information: ∠EDH ≅ ∠EDG, EH=9, EJ=4.
Corresponding sides of two triangles are congruent.
(CPCTC)
.... (1)
From the given figure it is clear that
![EG=EJ+JG](/tpl/images/0457/3010/8bce2.png)
... (2)
Using (1) and (2), we get
![9=4+JG](/tpl/images/0457/3010/2471a.png)
Subtract 4 from both the sides.
![9-4=JG](/tpl/images/0457/3010/41648.png)
![5=JG](/tpl/images/0457/3010/3a38e.png)
The measure of JG is 5 units, therefore the correct option is 2.