Similar Circles Investigation

You will investigate a powerful fact about circles today! Exciting, yes I know! The black circle on the screen is the pre-image. The red outlined circle is the image. When you moved the slider, the red circle will get bigger. While investigating, answer the following questions: 1) How does each image circle relate to the pre-image? 2) What is the radius of each image circle? How does the radius of the images relate to the pre-image radius? 3) Explain the relation between the circles. 4) If the point is on the pre-image, then find its image on the circle where the slider (a = 2).