Observe how the area of a geometric figure changes as its side lengths are scaled by different factors.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
What does the scale factor of lengths slider represent?
Set the scale factor of lengths to 3. What are the areas of the two figures? Calculate the scale factor of the areas.
What do you notice about the scale factor of the areas of the two figures with respect to the scale factor of the lengths?
The scale factor of the lengths of two similar figures is [math]x[/math]. What is the scale factor of the areas of the two similar figures in terms of [math]x[/math]?