Is it possible that the image of a point after a reflection could be the same point as the preimage?

Yes, it is possible that the image of a point after a reflection could be the same point as the preimage.

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

it doesn't. it was imagined up in the middle ages.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west