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# Shapes and Designs Project

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BC: The End!

FC: SHAPES AND DESIGNS PROJECT By: Madison Tramel

1: Definitions: Vertex- A point where two or more straight lines meet. Side- A line segment that joins two vertices. Angle Sum- The measurement of all the interior angles of a polygon.

2: Three ways to find Angle Sum: | 1. Count the number of sides of the polygon, subtract 2, and then multiply that number by 180 degrees. 2. Start at any vertex of a polygon and connect vertices to form triangles. Then multiply the number of triangles you made by 180 degrees. (5x180=900 degrees) 3. Draw a vertex in the middle of the polygon, and draw a line to each of the vertices. Then multiply the number of triangles you made by 180, and finally, subtract 360 degrees.

3: Triangles 1. Acute 2. Right 3. Obtuse 4. Equilateral 5. Isosceles 6. Scalene

4: Acute Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

5: Right Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

6: Obtuse Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

7: Equilateral Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

8: Isosceles Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

9: Scalene Triangle | Sides- 3 Vertices- 3 Total Angle Sum- 180 degrees

10: Quadrilaterals 1. Square 2. Non-Square Rhombus 3. Non-Square Rectangle 4. Irregular Quadrilateral

11: Square | Sides- 4 Vertices- 4 Total Angle Sum- 360 degrees

12: Non-Square Rhombus | Sides- 4 Vertices- 4 Total Angle Sum- 360 degrees

13: Non-Square Rectangle | Sides- 4 Vertices- 4 Total Angle Sum- 360 degrees

14: Irregular Quadrilateral | Sides- 4 Vertices- 4 Total Angle Sum- 360 degrees

15: Pentagons 1. Regular 2. Irregular

16: Regular Pentagon | Sides- 5 Vertices- 5 Total Angle Sum- 540 degrees

17: Irregular Pentagon | Sides- 5 Vertices- 5 Total Angle Sum- 540 degrees

18: Hexagons 1. Regular 2. Irregular

19: Regular Hexagon | Sides- 6 Vertices- 6 Total Angle Sum- 720 degrees

20: Irregular Hexagon | Sides- 6 Vertices- 6 Total Angle Sum- 720 degrees

21: Octagons 1. Regular 2. Irregular

22: Regular Octagon | Sides- 8 Vertices- 8 Total Angle Sum- 1,080 degrees

23: Irregular Octagon | Sides- 8 Vertices- 8 Total Angle Sum- 1,080 degrees

24: Decagons 1. Regular 2. Irregular

25: Regular Decagon | Sides- 10 Vertices- 10 Total Angle Sum- 1,440 degrees

26: Irregular Decagon | Sides- 10 Vertices- 10 Total Angle Sum- 1,440 degrees

27: Bonus! | Irregular Dodecagons

28: Irregular Dodecagon | Sides- 12 Vertices- 12 Total Angle Sum- 1,800 degrees

29: Irregular Dodecagon | Sides- 12 Vertices- 12 Total Angle Sum- 1,800 degrees

30: Everywhere you look you can see dozens of real life polygons! Some polygons work better for certain situations than others. For example, if you look at floor tiles they are almost always square! This is because squares are easy to connect, cut, and arrange in patterns. Another example is a stop sign. It is always an octagon. This is because it is proven that octagons stand out in nature. An octagon is easily recognized and identified as a stop sign without even reading the word STOP! Polygons make up a lot of things in our world today, and they can be very useful!

31: Thanks for Watching!

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