[math]\bigtriangleup[/math]ABC that has been rotated to form [math]\bigtriangleup[/math]A'B'C'. But where is the center and what is the angle of rotation?[br][br]1. Construct the segments between the pre-image and the image. (Click Show Segments) [br][br]2. Construct the perpendicular bisectors of each segment.[br][list][*]Find the midpoints of each segment (click Show midpoints)[/*][*]Construct a perpendicular line through each midpoint (click Show perpendicular lines)[/*][/list]3. Where do you think the center is located? (click Show center)[br][br]4. Uncheck all of the boxes from above or click the refresh icon. Keep the center of rotation visible. [br][br]5. Construct the angle of rotation between preimage, center, and image.[list][*]Click each checkbox individually to see the angle and its measurement. What do you notice about all the angle measurements?[/*][/list]