The polygons from the figure given below that are similar are Polygon B and Polygon C .
In the question ,
it is given that there are three polygons ,
we have to check which polygons are similar ,
to find the similarity we compare the length of all the polygons .
Let us first check for Polygon A and Polygon B ,
105/120 = 7/8
80/90 = 8/9.
and 105/120 ≠ 80/90 ,
So , Sides are not in proportion for Polygons A and B.
Hence , the Polygons A and B are not Similar.
Let us check for Polygon A and C .
105/100 = 21/20
80/75 = 16/15.
and 105/100 ≠ 80/75
So , sides are not in proportion for Polygons A and C.
Hence , the Polygons A and C are Non Similar.
Now for Polygon B and C .
120/100 = 6/5.
90/75 = 6/5.
and 120/100 = 90/75 = 6/5
So , Sides are in proportion for Polygons B and C .
Hence , the Polygons B and Polygon C are Similar.
Therefore , the Polygon B and Polygon C are similar .
The given question is incomplete , the complete question is
Which pairs of rectangles are similar polygons ? select similar or not similar for each pair of rectangles from the figure given below .
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