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Dec. 1 Cyclic Quadrilaterals And Polygons

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Dec. 1 Cyclic Quadrilaterals And Polygons

  1. 1. Cyclic Quadrilaterals 1
  2. 2. 2
  3. 3. Cyclic Quadrilateral Theorem: ­ the opposite angles of a cyclic quadrilateral   are supplementary ­ an exterior angle of a cyclic quadrilateral is   equal to the interior opposite angle 3
  4. 4. 4
  5. 5. 5
  6. 6. A convex polygon with n sides can be  divided into (n ­ 2) triangles The sum of the interior angles of a  polygon with n sides = (n ­ 2) x 180 6
  7. 7. The exterior angles in an n sided polygon add up to 3600 If there are n sides in a regular polygon then the measure  of each exterior angle in the polynomial will be 3600   n 7
  8. 8. 8
  9. 9. Example find the value of each angle 6x +1 6x 1? 2? 2x ­ 2 1400 9
  10. 10. Draw a 6 sided regular polygon, determine the measure of  each interior angle Determine the measure of each exterior angle 10
  11. 11. 11

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