1 / 11

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

guri
Télécharger la présentation

1.6 CLASSIFY POLYGONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related