1. So far we have investigated rigid transformations. List the rigid transformations we have discussed, and explain what makes them "rigid"?[br][br][br][br]2. Without going ahead in the applet, and without knowing what a dilation is, why do you think we did not include dilations under "rigid transformations"?[br][br][br][br]Now that you have a thought about what makes a dilation not a "rigid transformation", let's investigate what a dilation is.

Change the scale factor using the slider and write down anything you notice.[br][br] **Note: When I say anything I mean anything! It's okay to have general observations (like saying a parabola looks like a rainbow) but try to have some specific ones too (like saying a parabola only crosses the y-axis once). [br][br] ***Sometimes GeoGebra will round numbers

3.. Did your observations stay true for any value of the slider? (If you are not sure, go back and try it!)[br][br] [br] a. When the image was smaller than the pre-image? Bigger than the pre-image?[br][br][br]4. Look at your observations, is there any general rules about dilations that you think you can make? Why?

I've copied the applet below. Move points Q, R, and/or P to make a triangle that looks different than in the previous applet.[br][br]Do your rules still work? Did you notice any new rules?

5) Do you guys have any rules in common? Which ones?[br][br][br][br][br]6) Did your group/partner have a rule that was different than any of yours? Do their rules make sense to you? (If not, ask them about their rules.)[br][br][br][br]7) As a group/partners, compile a list of rules of what you guys have observed that makes a dilation a dilation, and explain why it is not a rigid transformation.[br][br][br][br][br]***Once every group has a list, we will compare all of our rules as a class!