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Step 1 Sketch the star polygon for each set of points containing the number of star point vertices ranging from 3 to 11 and k

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Step 1 Sketch the star polygon for each set of points containing the number of star point vertices ranging from 3 to 11 and k the count between points connected by a segment ranging from 1 to 10 Either create your own table for your set of star polygons or use the table provided for you by your teacher Look for patterns 4 6 10 11 Step 2 Did you notice any duplicates in the rows What symmetries dia you find State a rule for when two star polygons are the same Step 3 What did you notice about the n and k for the star polygons that are just convex polygons Step 4 What did you notice about the n and k for the asterisk star polygona Step 5 What did you notice about then and k for the star polygons that were two or more overlapping triangles Step 6 Were there any star polygons that were made up of overlapping quadrilaterals or overlapping pentagons What was the relationship between them and k for these star polygons Step 7 What type of star polygon is 20 10 or 20 4 or 20 15 or 20 11 Explain your reasoning on is equivalent to a 20 10 or 20 4 or 20 15 or 20 11

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