Question

Write a sequence of dilations and transformations that map circle B onto circle A and that shows the two circles you created are similar.

Answer 1

We have start with circle B, which is a circle with radius equals to 3 and centered at (4, 4).

The circle A has a radius equals to 4. If we dilate the image of the circle B around the center of circle A by the ratio between the radius, we're going to have circle A.

Translation means the displacement of a figure or a shape from one place to another. If we translate the circle B 8 units to the left, The image is going to have the same center as circle A.

The transformations that takes circle B to circle A are a dilation around (4, 4) by a factor of 4/3, and then a horizontal translation of 8 units to the left.