Polygon interior angle sum patterns.
#1
How many sides does the green polygon have? What type of polygon is it?
#2
Find the sum of the interior angles of the green polygon. Does it stay the same or change when you move the vertices?
#3
How many sides does the red polygon have? What type of polygon is it?
#4
Find the sum of the interior angles of the red polygon. Does it stay the same or change when you move the vertices?
#5
How many sides does the purple polygon have? What type of polygon is it?
#6
Find the sum of the interior angles of the purple polygon. Does it stay the same or change when you move the vertices?
#7
How many sides does the blue polygon have? What type of polygon is it?
#8
Find the sum of the interior angles of the blue polygon. Does it stay the same or change when you move the vertices?
#9
Each time you add an extra side to the polygon, what happens to the sum of the interior angles? Be as specific as possible.
#10
What connection can you find between the interior angles of triangles and the interior angles of other polygons?