Question from 3379 Class Today (4/9/2024)
Introduction
Great job Jenn and Delana. You stumped me today. I had to spend some time on Geogebra to think about the question you raised in class. Here is what I figured out.
The question
Jenn and Delana proposed that if you slide the red parallelogram below to become the blue paralellogram they should have the same area.
The answer
Use the sketch below to see why the blue parallelogram is actually larger than the red parallelogram. If you slide the "move me" point from (5,2) to (5,0) you will see that the height of the parallelogram grows while the base stays the same size. To create a parallelogram of the same size you would have to move the "move me" point along a line that is parallel to the base.