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No. Well... kind of because they are both bisections. The difference is that the angle bisector splits an angle in half, while a perpendicular bisector creates a right angle from a horizontal line. They both "split" something in half.
Any two polygons with a different number of sides are not similar.
similar polygons may not be congruent (different sizes) congruent polygons are always similar (equal in every geometric respect - including
Similar
Yes, regular polygons will have all sides equal length, and all angles the same. If two polygons of the same number of sides are 'regular' then those two polygons will be similar (they may be scaled, for example).