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1.6 CLASSIFY POLYGONS

1.6 CLASSIFY POLYGONS. Objectives. Identify and name polygons. T. Y. P. A. C. X. U. D. B. W. V. Q. R. Polygons. Polygon – a closed figure whose sides are formed by a finite number of coplanar segments

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1.6 CLASSIFY POLYGONS

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  1. 1.6 CLASSIFY POLYGONS

  2. Objectives • Identify and name polygons.

  3. T Y P A C X U D B W V Q R Polygons • Polygon– a closed figure whose sides are formed by a finite number of coplanar segments • We name a polygon by using the letters of its vertices, written in consecutive order.

  4. Types of Polygons • If the lines of any segment of the polygon are drawn and any of the lines contain points that lie in the interior of the polygon, then it is concave. • Otherwise, it is convex (no points of the lines are in the interior).

  5. Classifying Polygons • Polygons are classified by the number of sides they have. A polygon with n number of sides is an n-gon. PolygonNumber of Sides Triangle 3 Quadrilateral 4 Pentagon 5 Hexagon 6 Heptagon 7 Octagon 8 Nonagon 9 Decagon 10 Dodecagon 12

  6. Regular Polygons • If all the sides are congruent in a polygon it is said to be equilateral. • If all the interior angles are congruent in a polygon it is said to be equiangular. • A convex polygon in which all of the sides and all of the angles are congruent, in other words it is equilateral and equiangular, is called a regular polygon. .

  7. Regular Polygons

  8. Example 1a: Name the polygon by its number of sides. Then classify it as convex or concave, regular or irregular. There are 4 sides, so this is a quadrilateral. No line containing any of the sides will pass through the interior of the quadrilateral, so it is convex. The sides are not congruent, so it is irregular. Answer: quadrilateral, convex, irregular

  9. Example 1b: Name the polygon by its number of sides. Then classify it as convex or concave, regular or irregular. There are 9 sides, so this is a nonagon. A line containing some of the sides will pass through the interior of the nonagon, so it is concave. The sides are not congruent, so it is irregular. Answer: nonagon, concave, irregular

  10. Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular. a. b. Your Turn: Answer: triangle, convex, regular Answer: quadrilateral, convex, irregular

  11. Assignment • Pre-AP Geometry Pgs. 44 – 47 #3 – 23, 28 – 30, 40

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