Actually not only planets, but all objects or most of them in existence reflect light and that's how you see them, see the light impacts the objects, they absorb some of it and they reflect the other part into the atmosphere or space. You can somehow say they bounce of these objects. See that's how a mirror works, a mirror is just a random piece of glass wich was provided with an opaque object objects on one of it's side ( an opaque object is an object wich doesn't let light pass through it), this opaque object behind the mirror doesn't let light pass through but reflects it back to the atmosphere or space and so it reaches your eyes and you see it. Just look for any mirror, look at it's back side, you'll see a non-crystal covering, take it off and you have no more mirror but a random piece of glass.

In this diagram plane waves reflect off a parabolic mirror to form waves converging onto a focal point.
Not all smooth surfaces reflect light back to us, even though, technically, they should bounce back at the same angle at which they hit the surface. This exception to the rule results, because some smooth surfaces absorb the light particles hitting them, making it impossible for them to bounce back. The Earth itself does not act like a mirror because it absorbs some of the light it receives from the sun and reflects the other part of it back to space and in not in the same angle it received the light but in diferent angles, the moon does the same thing and almost every object in the universe.

Above pic showing Earth seen from the moon, this is called "Earth rise".
Of course there is an exeption, there are objects that produce light by themselfs and so they make themselves visible that way, one example is the sun, the sun produces its own light, the sun is a light source itself, the light it produces it releases it into space and when it arrives at Earth it arrives at our eyes and so we see the sun and everything it lits with it's light. The sun is one light source in our solar system. Ever wonder why we can't see in the dark? Because there is not light to bounce of the objects so we can see them of there is not light source.
There are many other light sources in the universe, for example other stars. Our sun is a star, but it is not alone in the universe, there are many other stars in the universe and of course they are all a light source each. Of course this other stars are very distant and that's why they appear so small but some of them can be thousands of suns. Fire itself is a light source, it doesn't need to reflect light to be visible because it produces it itself.


I hope this post cleared somethings out.
Source images