## Dissecting a parallelogram to a rectangle
Drag the point marked "Move cut-off piece" to rearrange the pieces to a rectangle.
You can change:
the location of the cut on the parallelogram
the height of the parallelogram
the base of the parallelogram (A or B)
the shape of the parallelogram (A, B, and/or D)
The slider for moving the cut-off piece can be moved to directly measure the base of the parallelogram and rectangle.
The outlined rectangle can be moved to compare directly to other objects.
### Questions
How are the base and height of the parallelogram related to the base and height of the resulting rectangle?
The area of the rectangle is A = bh. What is a formula for the area of the parallelogram?
If you cut the parallelogram along a diagonal into two triangles, what is the area of one of the triangles?
What happens to the area if you slide the top side of the rectangle along a line parallel to the base?
For some parallelograms, the cut line only cuts off a small triangle, and the resulting shape is not a rectangle. How could you deal with parallelograms like this?
Susan Addington, Created with GeoGebra |