If two polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding sides.
Polygon is a closed figure made up of line segments in a two-dimensional shape.
We have,
Two similar polygon.
Let First polygon [tex]=a[/tex]
Side of First polygon [tex]=x[/tex]
Second polygon [tex]=b[/tex]
Side of Second polygon[tex]=y[/tex]
So,
According to the question,
Ratio of sides[tex]=\frac{x}{y}[/tex]
Ratio of perimeters of polygons [tex]=\frac{a}{b}[/tex]
So,
According to the theorem,
"When two polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding sides".
i.e.
[tex]\frac{a}{b}=\frac{x}{y}[/tex]
Hence, we can say that when two polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding sides.
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