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:[br][br]1) How does each image circle relate to the pre-image?[br][br]2) What is the radius of each image circle? How does the radius of the images relate to the pre-image radius? [br][br]3) Explain the relation between the circles.[br][br]4) If the point [math]\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)[/math] is on the pre-image, then find its image on the circle where the slider (a = 2). [br][br][br][br]