Y8 Polygon Workbook.

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Presentation transcript:

Y8 Polygon Workbook

Investigation: What is the sum of interior angles of a 100 sided shape? Name of Polygon Number of sides for the polygon Number of triangles inside the polygon Sum of interior angles for the polygon Size of one interior angle Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon any-sided polygon

Interior angles of polygons This is just one of the six interior angles of this polygon

The angle sum of a triangle is 180° A polygon with 3 sides is a triangle 𝒃 â ĉ The angle sum of a triangle is 180° 𝑎 + 𝑏 + 𝑐 = 180°

What is the angle sum of a quadrilateral? triangle = 180° Angle sum of a triangle = 180° The angle sum of a quadrilateral is 360°

Here is a different quadrilateral but the method is the same Angle sum of a triangle = 180° Angle sum of a triangle = 180° The angle sum of a quadrilateral is 360°

What is the angle sum of a pentagon? 180°x 3 = 540° This time you can divide the polygon into 3 triangles The angle sum of a pentagon is 540°

You can find the angle sum of any polygon by dividing it up into triangles 180° x 4 = 720° 180° x 5 = 900° 180° x 6 = 1080°

What is the formula for finding the angle sum of a dodecagon Finding a formula What is the formula for finding the angle sum of a dodecagon (a 12-sided polygon)?