Geometry 7.2b, Proving Circles Similar

An explanation of how all circles are similar because they have the same shape. We can prove this by using a dilation whose center of dilation is not (0, 0) the origin. We prove two circles are similar by using a center (0,0) for Circle A and a center (5,0) for Circle B with a radius of 2. Then we have another example where we prove that Circle C with a center (-2, 0) and radius 2 is similar to Circle D with Center (4,1) and radius 3. We figure out how quilt pattern blocks can be drawn with a scale factor of 3 using a coordinate plane. We use transformations to determine whether two polygons are similar by determining whether one figure can be mapped to the other by a similarity transformation.

Geometry 7.2a, Dilations & Similarity Transformations

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[pb]

I think I became confused in the dilation step using the scale factor and the (x, y) values. Perhaps, it is less confusing to say that the translated circle is dilated about its (new) center by the scale factor.

[kjones]

How to do dilations without center 0, 0?