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

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Presentation on theme: "Coming Attractions: regular It is regular because it fits together with no gaps. hexagon."— Presentation transcript:

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

2 3 Here is one pair Here is the second pair Here is the third pair 720

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

4 3 sides – 2 = 1 x 180= 180 4 sides – 2 = 2 x 180= 360 5 sides – 2 = 3 x 180= 540 540 hexagon decagon 6 7 8 10 9 9 7 360 900 octagon pentagon 1260 1440 6 sides – 2 = 4 x 180 = 720 8 sides – 2 = 6 x 180 = 1080 7 sides – 2 = 5 x 180 = 900 9 sides – 2 = 7 x 180 = 1260 10 sides – 2 = 8 x 180 = 1440

5 3 sides – 2 = 1 x 180= 180 4 sides – 2 = 2 x 180= 360 5 sides – 2 = 3 x 180= 540540 10.What would be the sum of the angles in a 52 sided polygon? 52 – 2 = 50 x 180 = 9000

6 4550 85 85

7 4. What is the reflex of this angle? ____________________ 112 248

8 75 D B E 75 112

9

10 They all have 3 angles 3 verticals and 3 sides.

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

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

13 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

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

15 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.

16 120 60

17 6 1080

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


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