Geometry: Parallelogram

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?

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$