True.
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No because its angles are not factors of 360 degrees
All sorts. For starters, no convex polygon with more than six sides tessellates, and various polyominoes of seven or more squares don't.
A 7-sided shape is called a heptagon and not a septagon because the names of polygons are derived from the Greek names for the numbers. The Greek for "seven" is "hepta" - thus a heptagon is a 7-sided figure. If the system for naming polygons had been based on the Latin names for numbers, then a 7-sided polygon might have been called a septagon, since the Latin word for "seven" is "septem," but Latin is not the basis for these names in English.
The correct name in English for a 7-sided polygon is "heptagon." The word "septagon" is used incorrectly by some who do not understand that the names of polygons are derived from Greek, not from Latin. The Latin word for "seven is "septem" but the Greek word is "hexa."
Simply put, the square root of seven is irrational and cannot be in fraction form.