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1: A Polygon is a closed shape that has 3 or more straight line segments with no intersecting lines. Any shape that does not follow this description is not a polygon.
2: Triangles | A triangle is a polygon with 3 sides, 3 angles, and 3 vertices. Triangles can be classified by the length of their sides or the size of their angles | You can determine when a triangle is a scalene when there are no equal sides or no equal angles. | You can determine when a triangle is an isosceles when it has two equal sides and two equal angles. | You can determine when a triangle is an equilateral when all of the sides and angles are equal. | Three common triangles are the scalene, isosceles and equilateral triangles.
3: Triangles have 3-letter names. You name a triangle by using the letters of the vertices. | The sum of the angles in a triangle equals 180 . | The above triangle is an isosceles triangle. The two sides on the triangle are the same length.
4: Quadrilateral | A Quadrilateral is a polygon that has four sides, four vertices, and four angles. Quadrilaterals can be a square, a rectangle and a rhombus. | A square is a type of quadrilateral. A square is a quadrilateral because it has four sides, four vertices, and four angles. | The total angle sum of a quadrilateral is 360 degrees. Two triangles can make a square. The angle sum of one triangle is 180 degrees. Two triangles can fit into a square which would make the angle sum of a quadrilateral 360 degrees. | The picture above is an example of an irregular quadrilateral.
5: The picture above is an example of a square from a shopping basket. It is a quadrilateral. | The picture above is crown molding in our kitchen. It is shaped as a rectangle. It is another example of a quadrilateral. | The picture above is a rhombus. it is another example of a quadrilateral.
6: Pentagon | A pentagon has five sides, five vertices and five angles. | The total angle sum for a pentagon is 540 degrees because three triangles can make a pentagon and the total angle sum for a triangle is 180 degrees, so a pentagon's total angle sum is 540 degrees | The picture above shows a regular pentagon. A regular pentagon is when the shape has all equal angles and sides.
7: The picture above shows an irregular pentagon. An irregular pentagon is when it doesn't have all sides and angles equal with another.
8: Hexagon | A hexagon has six sides, six vertices, and six angles. | Four triangles can make a hexagon and the total sum of a triangle is 180 degrees, so the full total sum of a hexagon is 720 degrees. | The picture above shows a regular hexagon.
9: The picture above shows an irregular hexagon.
10: Octagon | A octagon has eight sides, eight vertices, and eight angles. | Six triangles can make an octagon, so 180x6=1,080, so the total angle sum of a octagon is 1,080 degrees. | The picture above shows a regular octagon.
11: The picture above shows an irregular octagon.
12: Decagon | A decagon has ten sides, ten vertices, and ten angles. | Eight triangles can make a decagon, so 180x8=1,440, so the total angle sum of a decagon would be 1,440 degrees. | The top of the cup above shows a regular decagon.
13: The picture above shows an irregular decagon.
14: Dodecagon | A dodecagon has twelve sides, twelve vertices, and twelve angles. | The total angle sum of a dodecagon would be 1.800 because there are 10 triangles in a dodecagon, so 10x180= 1,800 degrees. | The picture above represents a Irregular dodecagon.