We will explore dilating figures with different scale factors and different centers of dilation. Be sure to be thoughtful about your observations in these activities.
In the window below, explore what happens when you dilate with respect to a point that isn't the origin. Try to find a way to make the dilation rules with respect to the origin work when using a different point. It will be helpful to take notes about where your center of dilation is and what points you end up with in your image.[br][br]Click and drag the sliders in the window to move your center of dilation (point A). Use the k slider to dilate your pre-image.
How does the center of dilation impact the image?[br]What happens to the image when you move the center of dilation up? Down? Left? Right?[br]Why do you think this happens?
How can you use the coordinate rules for a dilation with respect to the origin when you aren't dilating with respect to the origin? What other transformations do you need to do? Why do you think this works?
When we dilate a figure with a negative scale factor, gets all flipped around! Help me figure out exactly how it gets flipped. Play around with the slider to rotate the red triangle until it lines up with the green triangle.
How much did you have to rotate the red triangle to get it to line up with the green triangle?
The green triangle is a dilation of the original triangle. What do you think the scale factor of this dilation is? Why do you think this?