if your problem looks like dilation it is a different part of math that i will not cover.
translation the movement of a shape left or right, up or down, or left and down, ect
rotation is an object turned a certain degree such as turned 90 degrees as in the picture above, 180 or 270 degrees. done be confused an object can be turned in either clockwise or counterclockwise
last but not the least confusing reflection, an object that is "flipped over the mirror line, not symmetry. and looks the same but in reversed over the mirror line.
another example here to show the 3 main movements of a shape
