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Bell Ringer

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(4,5), S(-1,10), T(13,20). 8-1 Investigate interior and exterior angles of polygons. Rally Coach.

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Bell Ringer

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  1. 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(4,5), S(-1,10), T(13,20)

  2. 8-1 Investigate interior and exterior angles of polygons

  3. Rally Coach • Partners take turns, one solving a problem while the other coaches. • 1. Partner A solves the first problem. • 2. Partner B watches and listens, checks, coaches if necessary, and praises. • 3. Partner B solves the next problem. • 4. Partner A watches and listens, checks, coaches if necessary, and praises.

  4. Rally Coach • 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(-9,6), S(3,8). T(1,20) • R(-6,-1), S(5,3), T(2,5)

  5. 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.

  6. Polygon a closed figure made by joining line segments, where each line segment intersects exactly two others. These are polygons!!!

  7. These are NOT polygons!

  8. Write Rally Robin • Students take turns stating and writing responses or solutions. Record answers on one sheet of paper.

  9. Name as many polygons as you can think of and record your answers on your sheet of paper.

  10. Class share time!

  11. 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

  12. Types of Polygons

  13. 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.

  14. 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°

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

  16. Convex vs Concave…what does it mean??? Convex Polygons

  17. Concave and Convex Applet

  18. Rally Robin

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

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

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

  22. Homework • Page 407(13-20)

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