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6.1

6.1. Properties and Attributes of Polygons. Polygon Vocab. POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon :. Name the polygon by how many sides it has. Sum of interior angles (& each angle!). Sum interior angles = (n – 2) •180º .

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6.1

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  1. 6.1 Properties and Attributes of Polygons

  2. Polygon Vocab • POLYGON: • Diagonal: • Concave Polygons: • Convex polygons: • Regular polygon:

  3. Name the polygon by how many sides it has.

  4. Sum of interior angles (& each angle!)

  5. Sum interior angles = (n – 2)•180º Ex 1: Find the sum of the measures of interior angles of the convex polygon: (*Think – how many triangles will it divide into?) a) hexagon b) decagon c) 13-gon b) 121-gon

  6. Ex 2: Find the value of x 3x-2 4x-5 Find sum of all interior angles 2) Set up equation 3x 4x x+3 3x+4 Ex 3: The sum of the interior angles = 2700º. Find the # of sides.

  7. Ex 4: Find the number of sides (n) of the convex regular polygon if… (Formula to find the sum of angles: ___________________) • ONE interior angle = 160º

  8. Exterior Angles of a polygon:Find each exterior angle • 1 = • 2 = • 3 = • 4 = • 5 = • Sum =

  9. Ex 6: Find the value of x

  10. For ALL Convex Polygons • Sum of exterior angles • Sum = 360º • ONE exterior angle of a regular n-gon is: • Exterior  =360n

  11. In Summary… • Sum interior angles of a convex n-gonis: • Sum = (n– 2)180 • Oneinterior angle of a regular n-gon is:

  12. Ex 7: Find the measure of each exterior and interior angle if given the # of sides of a regular polygon. • 7 sides • Exterior Angle • Interior Angle • 19 sides • Exterior Angle • Interior Angle

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