Finding Centers of Rotation: Warmup Problem

1.    When a point A is rotated around center of rotation P, it moves along a circular path.  The location of point A after being rotated depends on the amount of rotation.

For example, if A is rotated ¼ of the circular path around P, it arrives at the location of point C in the picture below:

A new point A’ is rotated 360 degrees (all the way) around center of rotation P.  Draw its path of rotation:


2.    If line segment [[{"fid":"293","view_mode":"default","type":"media","attributes":{"height":20,"width":26,"class":"media-element file-default"}}]] is rotated around center of rotation P, which of the three line segments, j, k, and l, could represent how [[{"fid":"293","view_mode":"default","type":"media","attributes":{"height":20,"width":26,"class":"media-element file-default"}}]] will look as it is being rotated?



3.   The quadrilateral on the left, below, is a rotation of the quadrilateral on the right.  Find the center of rotation.  Explain how you know it is the center of rotation.