Question

If you guys can't see it well it says "triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L'
what is the value of x?


A. 5


B. 6


C. 7


D. 8​

Answer 1

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:

$2x-4=8$

The final step is to solve for "x" in order to find its value. You get that this is:

$2x=8+4\\\\x=\frac{12}{2} \\\\x=6$