Shearing Intro
Shearing a figure preserves its area. Use the green rectangles to reason why parallelogram [math]ABEF[/math] has the same area as parallelogram [math]ABCD[/math] for any position of [math]F[/math] along that line, as long as [math]A[/math], [math]B[/math], and [math]C[/math] and [math]D[/math] are fixed. [br][br]What if you begin with a different parallelogram [math]ABCD[/math]?
How does the area of parallelogram [math]ABCD[/math] compare to the sum of the areas of the green rectangles when [math]n=2[/math] or [math]n=3[/math]? What about [math]n=20[/math]? Explain.
What happens to the rectangles (and their areas) when [math]F[/math] is moved? Explain.