Introduction to Reflections, Translations, and Rotations Part I

1. On your graph paper draw and label a square. Describe its original position and size.

2. Rotate it 90º clockwise around any point.

3. Translate it so that it is in the 4th quadrant.

4. Reflect it over a line y = "a number" so that the square is in the 1st quadrant.

5. Write two different ways that you can get the shape back in its original position.

Part II

6. On your graph paper draw and label a triangle. Describe its original position and size.
7. Rotate, translate, and/or reflect the triangle so that the two triangles create a parallelogram. List your steps here:

Part III

8. On your graph paper draw and label a parallelogram. Describe its original position and size.

9. Rotate, translate, and/or reflect the parallelogram several times, listing your steps here:

10. Now, challenge a friend to get the parallelogram back into its original position!
(Don’t reveal your steps.)

11. Record your friend’s steps here:

12. Are the steps that your friend used the reverse of your steps, or are they different?