Now, before we start, what are Translations? Translations, or Slides is the action of moving something up, down, left, or right. Here's an example-
-A flock of Snow Geese-
In this image, we see a flock of Snow Geese, but how is that a translation? Here's how; Imagine that you had a Snow Goose, and you translated it all around, then kept the image. That's what's happening here! A Snow Goose was translated (Not literally) all around the sky, forming a flock!
What are reflections? A reflection is when something is flipped, creating a mirror image. Here's an example-
-Two fighter jets-
This image shows two fighter jets, with one flying above the other. It's also a reflection! While not a perfect mirror image (I imagine it's hard to reflect while flying), it still shows an example of a reflection. Here are more examples of reflections-
A reflection of another snow goose.
A rotation is when a shape is spun, or rotated around a certain angle. (Ex- 90 Degrees, 180 Degrees).
A Ferris Wheel
A Ferris wheel is an example of rotation, the people riding it spin with the wheel!
A 90 Degree Rotation
A dilation is when a shape grows larger or smaller, but stays congruent, other than in size. Here's an example-
This is an example of a dilation, in this example the cubes on the left have been dilated by a scale factor of two.