Watch A REAL boy from China with night-vision ability!
An eye-specialist recently visited the boy, in his home village, in China's Guanxi province, to examine his unusual eyes. the first thing he noticed when he arrived was that Nong's eyes were light blue just like Westerners, but very unusual for Asians. He became even more intrigued when he noticed that when shined upon with a flashlight, the boy's eyes would emit a kind of blue-green light, just like a cat's. As it turned out, his eyes not only looked liked a feline's they also allowed him to see and even read perfectly in total darkness.
This is a great question! Also encourages the reader to observe the nature around them and check if cats eyes really shine in the dark.
However your "correct" answer mostly addresses why cats eyes shine, and not how cats eyes shine.
The answer is that some nocturnal animals, like cats, have a reflective membrane that helps conserve light within the eye by reflecting it on the retina before it escapes out of the eye. This gives those animals better vision in the dark