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# Similarity & Transformtions

## Identifying Similarity & Transformations

You may not know much about identifying similarities or transformations, but once you are done reading this you will never forget it. One image can be obtained from another by a sequence of transformations and dilation then it is similar. Transformations is an operation that maps a geometric figure, preimage, onto a new figure or image.

There is 4 different types of transformation. Here are some examples.The first one you see is a rotation. A rotation is  when you turn a figure around a center. The distance from the center to any point on the shape stays the same. Every point makes or should make a circle around the center.

Another type of transformation is reflection. A reflection is something reflected or the image so produced, as by a mirror. It can either be reflected over the x or y axis.

Another type of transformation is translation. A translation is when you are moving a shape, without rotating or flipping it. "Sliding".The shape still looks exactly the same, just in a different place. Here is an example.

The last type of transformation is dilation. Dilation is a transformation in which a polygon is enlarged or reduced by a given factor around a given center point. Here is an example.

# Identifying Similarities

To understand the full definition, you need to know what corresponding angles and sides mean. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, itâ€™d stack perfectly on top of WXYZ.A would stack on W, B on X, C on Y, and D on Z. These vertices are corresponding.