Rotations

Recall

Previously, we learned what translations looked like. In a transformation, how did we find the coordinates of the image?

Introduction

Today we will be looking at rotations. What does it mean to rotate?

In the Geogebra Grid, click on the isometry tool (3rd from right) and click on "rotate around a point". Then, click on point D and on the triangle. See what happens when you rotate it 90 degrees counter clockwise!

Using the same steps as the last problem, try rotating the figure 180 degrees counterclockwise.

Now try rotating 180 degrees CLOCKWISE.

Drawing Conclusions

Compare your rotation of 180 degrees counterclockwise and 180 degrees clockwise. How are they different or similar?

Paper Application

If you want to graph rotations by hand, follow these steps:[br]1.) Write down the coordinates of each point to the side of the paper[br]2.) Turn your paper the OPPOSITE direction the shape should be rotated. For example, if you need to rotate a shape 90 degrees clockwise, turn your paper counterclockwise.[br]3.) Plot the points from before, except your rotated paper will be the new x- and y-axes.[br]There will be some practice for this on the homework!