In the diagram below, you have two circles, circle A and Circle B. See if you can transform circle B so that it matches circle A exactly ("sits on" circle A). [br][br]Use the horizontal and vertical sliders to move the center of the transformation of circle B (circle B'). [br][br]Then, use the scale factor slider (sf) to adjust the radius of circle B'. [br][br]Click the double arrows in the upper right corner to reset the activity with a new pair of circles.

1. Were you always able to match the circles?[br][br]2. Are circles always congruent? Explain why or why not, using your experiences in this activity.[br][br]3. Are circles always similar? Explain why or why not, using your experiences in this activity.