Answer: D. similar
Step-by-step explanation:
Translation and dilation are transformations that preserve shape and size.
Translation involves moving an object without changing its size or shape. For a circle, if we translate it (shift it) horizontally, vertically, or in any other direction, the resulting circle will still have the same radius and shape as the original circle. It will just be in a different position.
Dilation involves scaling an object, either making it larger or smaller, while keeping its shape the same. When we dilate a circle, we stretch or shrink it uniformly in all directions. The resulting circle will have the same proportions and shape as the original circle, but it may be larger or smaller depending on the dilation factor.
Since both translation and dilation preserve the shape of the circle, any two circles that undergo these transformations will be similar to each other. They will have the same shape, but their sizes may differ.
Answer: D. similar
Step-by-step explanation:
Transformation can be used to prove that all circles are similar by using translation and dilation. All circles are similar because they all are made up of 360 degrees and you can scale any circle up or down to match another circle exactly. In math, this is called translation and dilation. Therefore, transformation can be used to prove that all circles are similar.
They are not all congruent, however, as they may be different sizes. While they are "all round" or "all concentric", this is not the best option of which transformations can be used to prove.
