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Geometry Chapter 4

Geometry Chapter 4. Section 4.1 Polygons. Polygon Naming a Polygon Consecutive Angles Consecutive Sides Interior Exterior Convex Concave. Equilateral Polygon Equiangular Polygon Regular Polygon Exterior Angle Diagonals. Vocabulary. Polygon.

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Geometry Chapter 4

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  1. Geometry Chapter 4 Section 4.1 Polygons

  2. Polygon Naming a Polygon Consecutive Angles Consecutive Sides Interior Exterior Convex Concave Equilateral Polygon Equiangular Polygon Regular Polygon Exterior Angle Diagonals Vocabulary

  3. Polygon • A plane figure formed by three or more segments such that each segment intersects exactly two others, one at each endpoint, and no segments with a common endpoint are collinear. Yes, a polygon Not a polygon

  4. Polygon Names • BASED ON NUMBER OF SIDES 3 - Triangle 4 - Quadrilateral 5 - Pentagon 6 - Hexagon 7 - Heptagon 8 - Octagon 9 - Nonagon 10 - Decagon n - n-gon (11-gon, 53-gon)

  5. Polygon Vocabulary Exterior B A C Interior E D To name a polygon you can start at any point and go clockwise or counterclockwise as long as you stay in the correct order. (name then vertices) Ex: Pentagon ABCDE, AEDCB, DEABC, EDCBA

  6. Consecutive • Consecutive Angles – Angles next to each other (share a segment) • A & B; A & D • Consecutive Sides – Sides next to each other (share an endpoint) • AB & AD; AB & BC A B Name(based on number of sides?) D C

  7. Concave and Convex Polygons • Concave – at least one vertex points into the interior (caves in) • Convex – All vertices are pointing toward the exterior

  8. Equilateral, Equiangular, and Regular Polygons Equilateral – all sides in a polygon are congruent Equiangular – all angles in a polygon are congruent Regular – all sides and angles are congruent

  9. Which figures are POLYGONS ? A B C D E Give the name (by # of sides) for each polygon. Is there a regularpolygon? If so, which one?

  10. Exterior Angle • An angle that forms a linear pair with an interior angle • Example x° 92° x y z

  11. Diagonals • A segment whose endpoints are nonconsecutive vertices.

  12. Diagonals Find the number of diagonals: Number of diagonals of a 13-gon:

  13. Homework Pg. 198-200 #2-22 even, 27-32 all

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