Part A Start by creating two different circles:

Create a point, and label it A. To make the remainder of the activity easier, choose integers for the x and y coordinates of point A.
Create a circle with its center at point A and with a radius of your choice. To make the remainder of the activity easier, choose an integer value for the radius.
Create another point, and label it B. To make the remainder of the activity easier, choose integers for the x and y coordinates of the point.
Create a circle with its center at point B and with a radius of your choice that is different from the radius chosen for circle A. To make the remainder of the activity easier, choose an integer value for the radius.
Proving That All Circles Are Similar
In this activity, you will explore how similarity transformations establish similarity for all circles. Open the GeoGebra geometry tool, and complete each step below. If you need help, follow these instructions for using GeoGebra.