1 / 7

Polygons and Angles

Polygons and Angles. Sec 12 -1E pg. 693 - 698. Definition. Polygon – a simple, closed figure formed by three or more straight line segments. A polygon is named by the letters of its vertices, written in consecutive order. Not Polygons. Polygons. Polygons – or Not?. Polygons have

loring
Download Presentation

Polygons and Angles

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. Polygons and Angles Sec 12 -1E pg. 693 - 698

  2. Definition • Polygon – a simple, closed figure formed by three or more straight line segments. • A polygon is named by the letters of its vertices, written in consecutive order. Not Polygons Polygons

  3. Polygons – or Not? • Polygons have • Line segments are called sides • Sides meet only at their endpoints • Points of intersection are called vertices • Not Polygons • Figures have sides that cross each other • Figures are open • Figures have curved sides. Not Polygons Polygons

  4. Regular Polygons • An equilateral polygon has all sides congruent. • A polygon is equiangular if all of its angles are congruent. • A regular polygon is equilateral and equiangular with all sides and all angles congruent.

  5. Number of Sides 3 4 5 6 7 8 9 10 12 n sides Name Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon Names of Polygons An 11 sided polygon is sometimes referred to as a undecagon or a hendecagon

  6. Interior Angle Sum of a Polygon • The sum of the measures of the angles of a polygon is given by • S = 180 (n – 2) • Where n represents the number of sides. The sum of the interior angles is 540 n = 5 S = 180 (n – 2) S = 180 (5 – 2) = 180 (3) S = 540

  7. Work this problem Find the sum of the measures of the interior angles of this polygon. This is a hexagon, so it has 6 sides. S = 180 (n – 2) What is the measure of an individual interior angle? S = 180 (6 – 2) S = 180 ( 4) The measure of an individual interior angle is 720/6 = 120 S = 720

More Related