You can assume only given information and some angle relationships such as vertical angles and linear pairs. You cannot assume any ungiven angle measures or relationships of lines such as parallel or perpendicular.
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No. A figure cannot have two perimeters.
No. In fact, it cannot be true.
You cannot figure out the length of an octagon without a lot more information. Alternatively, you can measure the lengths of the sides.
Since a hexagon is a horizontal plane figure it cannot have a horizontal plane of symmetry.
You cannot, without some additional information.