Proving That All Circles Are Similar In this activity, you will explore how similarity transformations establish similarity for all circles. Open the GeoGebra e geometry
tool, and complete each step below. If you need help, follow these instructions for using GeoGebra.
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.
Take a screenshot of the two circles you created, save it, and insert the image in the space provided.