Name: ______Date: ______Period: ______

Rotations
Part 1:

  1. In the grid below, has been rotated 30⁰counterclockwise with the center of rotation at the origin. This process was repeated several times to create the images shown.

  1. Label the corresponding parts of the images of ABC.
  1. Describe the properties of a rotation based on what you see.

Part 2:
Directions: Describe the rotation that has taken place.

  1. Rotate ABCD 90⁰ clockwise with the center of rotation at the origin.

  1. Rotate ABC 180⁰ counterclockwise with the center of rotation at (1, 1).

  1. Rotate 90⁰ counterclockwise with the center of rotation at the origin.

  1. Rotate ABC 180⁰clockwise with the center of rotation at A.
  1. Below are some pairs of congruent line segments. We know they are congruent because, for each pair, we were able to find a center of rotation and rotate the segment on the right so it fit exactly on the segment to the left. We tried several possible points for this first segment pair and we think we’ve found a center of rotation.
  1. Check to see if our point is correct.

■Place a piece of patty paper over the 2 segments.

■Trace the segment on the right and our point onto the patty paper.

■Use your pencil to anchor the patty paper at the point and rotate the pattypaper to see if the traced segment lands on top of the segment on the left.

  1. Find centers of rotation for the segment pairs below. Use the method outlinedabove to check your centers.

You may have tried several points, and many did not work. Describe how you found a center of rotation that worked.

  1. Point A is 1 center of rotation. (Check with your patty paper.) A rotation of 90degrees will do it. There is another point that also serves as a center of rotation.Where is that point, and how did you find it?
  1. Find 2 different centers of rotation for the segments below. How did you find each center?
  1. Find 2 different centers of rotation for the segments below. How did you find each center?