# Polygon interior angle sum patterns.

Use this applet to study patterns with interior angle sums of polygons.

## #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?

Now look at the red polygon.

## #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?

Next look at the purple polygon.

## #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?

Finally look at the blue polygon.

## #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?

Putting it all together

## #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?