Similar Polygons

Author

Eric W. Weisstein
August 31, 2026

This notebook downloaded from https://mathworld.wolfram.com/notebooks/PlaneGeometry/SimilarPolygons.nb.

For more information, see Eric's MathWorld entry https://mathworld.wolfram.com/SimilarPolygons.html.

©2026 Wolfram Research, Inc.

Figure

Two similar polygons with similarity ratio 3/2.

With[
	{
		p = {{0, 0}, {2., 0.1}, {2.5, 1.3}, {1.3, 2.2}, {0.1, 1.5}},
		scale = 3/2,
		ink = LightDarkSwitched[RGBColor[0.217, 0.217, 0.217], RGBColor[0.867, 0.867, 0.867]],
		fill1 = LightDarkSwitched[RGBColor[0.82, 0.94, 0.82], RGBColor[0.24, 0.52, 0.3]],
		fill2 = LightDarkSwitched[RGBColor[0.98, 0.84, 0.66], RGBColor[0.68, 0.36, 0.2]]
	},
	Graphics[
		{
			EdgeForm[Directive[ink, AbsoluteThickness[2]]],
			FaceForm[fill1],
			Polygon[p],
			FaceForm[fill2],
			Polygon[(scale # + {4.1, 0}) & /@ p],
			Text[Style["scale factor 3/2", ink, FontFamily -> "Times", 15], {4.9, -0.35}]
		}
	]
]