Coming Attractions: regular It is regular because it fits together with no gaps. hexagon

3 Here is one pair Here is the second pair Here is the third pair 720

7.What is the measure of each angle? Explain 8.Does this polygon tessellate? Explain Yes because it fits together with no gaps

3 sides – 2 = 1 x 180= sides – 2 = 2 x 180= sides – 2 = 3 x 180= hexagon decagon octagon pentagon sides – 2 = 4 x 180 = sides – 2 = 6 x 180 = sides – 2 = 5 x 180 = sides – 2 = 7 x 180 = sides – 2 = 8 x 180 = 1440

3 sides – 2 = 1 x 180= sides – 2 = 2 x 180= sides – 2 = 3 x 180= What would be the sum of the angles in a 52 sided polygon? 52 – 2 = 50 x 180 = 9000

4. What is the reflex of this angle? ____________________

75 D B E

They all have 3 angles 3 verticals and 3 sides.

Use auto shapes to draw a tessellation below This illustration is a tessellation because……. It fits together with no gaps.

Using your chart, explain the pattern you see in Column A. The pattern is that you add one each time.

Using your chart, explain the relationship between the numbers in Column A and Column B. The relationship between column a and column b is you just add one but column b starts at 3

Using your chart, describe the pattern you found in Column E. In column e you just add 180.

Explain how you found your answer to the 150-sided figure. How do you know that your answer is correct? 150 sided figure 8640 I know my answer is correct because 150 – 148 and 148 x 180 is 8640.

120 60

6 1080

His mistake was that he did not start from one corner.