Editing version of paint and brushes is the "cut," which is simply when you transition from one shot to another. This is how films tell stories -- the images cut from one to the other, and each cut shows the audience a slight change or progression, like "she enters the building," or "he is talking now." They can be simple or symbolic, such as Stanley Kubrick's famous cut from a tossed bone to a space station in 2001: A Space Odyssey. Knowing how to use cuts to tell your story is vital to film editing.
Hard Cut-- a cut to another angle or shot with no transitions. This is the most common cut in film. Smash Cut- An abrupt shift to completely different scene/image. This calls attention to the cut, often signalling a surprise or big shift in the story. Jump Cut-- An abrupt cut made within the same scene, usually to a slightly different angle. Though uncommon, they show confusion or the passing of time. J-Cut-- Cutting to the audio of the next shot, but not the video. This is a great way to link two scenes thematically, or provide narration. L-Cut-- Cutting to the video of the next shot, but still playing the audio from the old scene. This is a great way to show a character talking about something, like a promise, then doing it (or breaking it). Action Cut-- A cut in the middle of some movement. For example, showing a door opening on one room then cutting as it opens to a shot of the same door opening from the other side. Superimposition: When two different videos layer on top of each other, implying that they are connected and intertwined. This is often used in transitions, too. Matching Shots: When the shape of one video is mimicked in the next. For example, you might have a shot of your eyes, then cut to your eyes in sunglasses or someone else's eyes. This links the shots, but usually hints at some fundamental difference as well.