Answer:
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.
[tex]EH=EG[/tex] (CPCTC)
[tex]9=EG[/tex] .... (1)
From the given figure it is clear that
[tex]EG=EJ+JG[/tex]
[tex]EG=4+JG[/tex] ... (2)
Using (1) and (2), we get
[tex]9=4+JG[/tex]
Subtract 4 from both the sides.
[tex]9-4=JG[/tex]
[tex]5=JG[/tex]
The measure of JG is 5 units, therefore the correct option is 2.
