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the term for the ratio of vertical change over horizontal change is slope
if you change the side length the area will change. It is possible to change them and not change the area. For example make side twice and long and the other half as long. But in general, if you change the lengths of the sides the area of the rectangle changes.
No, rise is the vertical change. Run is the horizontal change.
No, it doesn't change orientation because the coordinates do not change weather they are going clockwise or counter clockwise
no. the rate of change is undefined.