A rigid transformation is a transformation that keeps the figure congruent. This would mean reflections, rotations, and translations. Your answer is reflections, rotations and translations .
A rigid motion is any motion that doesn't deform the original shape - it's a motion that preserves the lengths and angles of a shape without stretching, squishing, or bending anything. The best way to think about rigid motions is to imagine holding something solid in your hand, like a smartphone. How can you move it around? You can <em>rotate</em> it around in your hand, changing its orientation; you can move your hand around through space, changing the smartphone's position. While it may not seem like a motion, you can also hold it up to a mirror, <em>reflecting </em>it in some way. These three transformations, rotation, translation (shifting position), and reflection, are the three primary rigid motions.
Once you find your common denominator (24) you have to do the same to the numerator. So for the roses it would be 9/24 + 8/24 which is 17/24 for both roses and geraniums