Mirrors don't refract, they reflect. All lenses, on the other hand, refract (bend) the light. All cameras have lenses, to focus the image; same for eyeglasses. Some telescopes have lenses, but others are collections of mirrors. Note that some few optical elements are lenses and mirrors - like prescription sunglasses with mirror coating.
A prism refracts light, and a mirror reflects light.
reflect
Refractors use a concave lens to refract the light rays through the main body, off the rectangular prism and into the eyepiece. These telescopes use no mirrors like reflectors (except the triangular prism contains a small mirror but a triangular prism is optional)
You need refraction for increasing or decreasing the size of an image. We can take x-ray images just fine, and we don't have anything that will refract x-rays.
Mirrors and other shiny surfaces.
The human eye is a refractor, but the telescope could be either refractor or a reflector.
Refraction happens in the cornea of the eye. It can be corrected with glasses or contacts.
Cameras do not refract light, lenses do. Refraction occurs whenever light passes from one medium to another, so it is not something that only occurs with lenses.
All see-through materials. Glass is well known. Water also refracts light. Diamonds refract light a lot. Even air refracts light a little.
A convex mirror has the same type of curve as the bottom of a spoon - it bulges out. Mirrors reflect.
Telescopes just refract. This is not completely true. If we look at the HST (Hubble Space Telescope) this is a telescope that uses reflection rather than refraction. Basically light enter the telescope and reflects of one concave mirror onto another concave mirror leading to a focal point where you can see an image. (look on google images "Hubbell's optics" and a little bit down there is a double diagram with a white background.")
Eyepieces aren't usually made to refract light like a glasses' lense is, so they don't.