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2.7 Exploring Angles In Polygons
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2.7 Exploring Angles In Polygons

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2.7 Exploring Angles In Polygons 2.7 Exploring Angles In Polygons Presentation Transcript

  • Angles in Polygons
    11/13/09
  • review
    Warm up quiz
    Model Drawing
    Check homework if assigned
  • review
    What are complementary angles?
    2 angles = 90o
  • review
    What are supplemental angles?
    2 angles = 180o
  • review
    Degrees in interior angle measures of a triangle?
    180o
  • review
    Degrees in interior angle measures of a quadrilateral?
    360o
  • EQ:
    How can I find the sum of the interior angle measures in any polygon?
  • How can we prove how many interior angle measures are in a quadrilateral?
    Used diagonals.
  • Draw a quadrilateral.
    Draw diagonals.
    How many triangles are there?
  • How can we prove how many interior angle measures are in a pentagon?
    Used diagonals.
  • Draw a pentagon.
    Draw diagonals.
    How many triangles are there?
  • How many degrees are in each triangle?
    How many total interior degrees are there in pentagon?
  • Interior measure chart
    Make a chart:
    3 columns-10 rows
  • 1: figure
    2: Sum of <s
    3: Increase from last figure.
  • Under figure draw:
    Triangle
    Quadrilateral
    Pentagon
    Hexagon
  • Heptagon (seven)
    Octagon
    Nonogon (nine)
    Decagon (last one)
    Complete the chart
  • What patterns do you see?
    How much do the < measures of each go up each time?
  • EQ:
    How can I find the sum of the interior angles in any polygon?