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August 23, 2010

August 23, 2010. Introduction to polygons. Bell Ringer. Find the slopes of RS and TS for the given points, R, T, and S. Determine whether RS and TS are perpendicular or not perpendicular . R(-6,4), S(-3,8), T(5,2). Geometry SLE. R.4.G.2

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August 23, 2010

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  1. August 23, 2010 Introduction to polygons

  2. Bell Ringer Find the slopes of RS and TS for the given points, R, T, and S. Determine whether RS and TS are perpendicular or not perpendicular. R(-6,4), S(-3,8), T(5,2)

  3. Geometry SLE • R.4.G.2 • Objective: I will find the sum of the measures of the interior and exterior angles of polygons. I will also find the measure of each interior and exterior angle when the sides and angles are all congruent, which is called a regular polygon.

  4. Types of Polygons

  5. Interior Angle Sum Theorem If a convex polygon has n sides, then its interior angle sum is given by the following equation: S= ( n −2) × 180°

  6. Names of polygons 3 sides- triangle 4 sides- quadrilateral 5 sides- pentagon 6 sides- hexagon 7 sides- heptagon 8 sides- octagon 9 sides- nonagon 10 sides- decagon 12 sides- dodecagon

  7. What is the sum of the interior angles of a convex decagon?

  8. What is the sum of the interior angles of a convex pentagon?

  9. What is the sum of the interior angles of a convex 25-gon?

  10. What is the sum of the interior angles of a convex 5x-gon?

  11. Benzene Molecule The benzene molecule C6H6, consists of six carbon atoms in a regular hexagonal pattern with a hydrogen atom attached to each carbon atom. Find the sum of the measures of the interior angles of the hexagon. The chemical compound benzene (C6H6) is a colorless, flammable, aromatic hydrocarbon, that is a known carcinogen. It boils at 80.1°C and melts at 5.5°C. Benzene has a heat of vaporization of 44.3 kJ/mol and a heat of fusion of 9.84 kJ/mol. Produced by hydrogen reduction of some allotropes of carbon, or from petroleum, it is used in the creation of drugs, plastics, gasoline, synthetic rubber, napalm and dyes.

  12. Homework • Page 407(13-20)

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