Must the sides of a dilated polygon always be parallel to the original ones, given that both polygons (original and dilated) have the same centroid coordinates?
2026-03-30 15:27:53.1774884473
Dilated polygon sides position
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Yes, if the scale factor is a non-negative value, because the dilation is a uniform scaling and the polygons have congruent corresponding angles, so their shapes are similar:
polygons dilation visualization
similarity and dilations