I was of that thinking, until I took the time to do terrain elevation (Topography) maps. I now believe, they choose the Giza Plateau, as it did have water. They knew how important that would be, for constructing the Pyramid(s). They additionally wanted fresh water. The Nile is muddy at times. To deny there is not water flowing down from the mountains behind the Giza Plateau, you would need to explain where all that water, which they need to regularly pump out from beneath the Sphinx, is coming from? The Nile is along distance away, and at a lower elevation. Additionally, all those many dark sinkholes, which fill up with water and drain over and over, would need to be explained.
You need to use Google Earth, and look up the terrain towards the 6th of October City. You need to open your perspective. It's as if everyone lives within the Giza bubble.
They had plenty of water! Water which flowed into the walls which surrounded the Pyramids, and which acted as a catch basin. It flowed right behind the Pyramids, and was diverted over the walls. There is more to the Pyramids, than a 1 mile radius.
I fault myself, for not explaining these terrain maps better. When you use Google Earth, you should see the correlation. On the maps I have posted here, the Dark blue is the lowest point, next is orange, then green, Lt. blue, and Purple being the highest. That Dk. Blue wandering line is all the same height. Where is it coming from?
The Pyramids are in the upper right hand corner.
I and the Google software are not infallible. It should be checked again.
If you don't know how to read terrain maps, it is not that difficult. Better yet, spend 10 minutes and learn, and fact check my work! :) This video below, makes me think the software has improved. Those are some stunning results.