How can you prove that two circles are similar using the coordinate plane?

Step-by-step explanation:

A circle is a defined by its distance form a point. If it's points are equidistant from a given point, then it is a circle. The distance from the center of a circle to the edge of the circle is called RADIUS. The radius of a circle is the same irrespective of the position on the circle it is measured.

It can be proven that two circles are similar.

Suppose there are two circles X and Y with radii p and q respectively, and q greater or equal to p, we can prove that X and Y are similar by

1. Making X and Y have the same center, by moving the center of the X onto Y.

2. Increase the size of Y to coincide with X. This is done by finding a value, such that when it is multiplied by p, q is created.

Let that value be h = q/p

3. Translate using the scale factor of q/p

WE HAVE SIMILAR CIRCLES!