Answer: SECOND OPTION.
Step-by-step explanation:
For this exercise it is important to remember "Rigid transformations".
Rigid transformations are those transformation that preserves length. These are the following:
- Reflection.
- Tanslation.
- Rotation.
According to the information given in the exercise, the triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L'. Therefore, JKL and J'K'L' are congruent.
Knowing the above, you can set up the following equation:
[tex]2x-4=8[/tex]
The final step is to solve for "x" in order to find its value. You get that this is:
[tex]2x=8+4\\\\x=\frac{12}{2} \\\\x=6[/tex]