Geometry/Notes 8.1
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Geometry/Notes 8.1

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Geometry/Notes 8.1 Geometry/Notes 8.1 Presentation Transcript

  • SECTION 8.1 Angles of Polygons
  • ANGLES OF POLYGONS How do I find the sum of the measures of the interior angles of a polygon? How do I find the sum of the measures of the exterior angles of a polygon?
  • CLASSWORK Complete Polygon Angle Sum Worksheet
  • INTERIOR ANGLE SUM THEOREM Theorem 8.1 – If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S=180(n-2) What is the sum of the interior angles of a octagon?
  • INTERIOR ANGLE SUM Interior Angle Sum = # of angles * measure of one interior angle
  • EXAMPLES The measure of an interior angle of a regular polygon is 135. Find the number of sides in the polygon. Find the measure of each interior angle. S T R U
  • EXTERIOR ANGLE SUM THEOREM Theorem 8.2 – If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360.
  • EXAMPLE Find the measure of an exterior and an interior angle for the figure.
  • HOMEWORK Page 407  14 - 40 Even  43 and 44
  • LESSON PLAN Intro  This chapter is all about Quadrilaterals. First we need to work on figuring out the measures of interior and exterior angles in a polygon. Standards- 8.1 (Power) Supplies – slides, whiteboard, handout, rulers, protractors and book Timing - 1 day (block), 1 review day and a quiz Essential Questions- slide 2 Input – slides 4 and 6 Guided Practice – slides 4, 5 and 7 Independent Practice – Bookwork