What if the interior angle on the bottom left of the parallelogram were very small perhaps 5 degrees. If you then dropped a line from above it would no longer produce a triangle.

In the parallelogram above, we drew a perpendicular line from one vertex to the opposite side, then cut that piece off of the parallelogram, and added it to the other side of the parallelogram to create a rectangle. Can the pieces of a parallelogram always be combined like this to create a rectangle?

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