1 / 14

6.1 Polygons

6.1 Polygons. What is a polygon?. A plane figure that meets these 2 conditions: it is formed by three or more segments called sides (no 2 sides with a common endpoint are collinear) - Each side intersects exactly 2 other sides, one at each endpoint. . Example of a Polygon.

geri
Download Presentation

6.1 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. 6.1 Polygons

  2. What is a polygon? • A plane figure that meets these 2 conditions: • it is formed by three or more segments called sides (no 2 sides with a common endpoint are collinear) - Each side intersects exactly 2 other sides, one at each endpoint.

  3. Example of a Polygon

  4. Identifying polygons

  5. Not Polygons

  6. Naming Polygons

  7. More on naming… • Polygons are named by the number of sides they have.

  8. Convex vs. Concave • A polygon is convex if no line containing a side of the polygon does not contain a point in the interior of the polygon.

  9. Concave A polygon is concave if when a side is extended, it contains points in the interior of the polygon.

  10. Convex or Concave??

  11. Regular Polygons • A polygon is regular if it is equilateral (all sides are congruent) and equiangular (all interior angles are congruent).

  12. Diagonals • Diagonals of a polygon are segments that join 2 nonconsecutive vertices.

  13. Interior angles of a quadrilateral… Add to 360º

  14. Find angle Q and angle R • 80+70+x+2x=360 • 150+3x=360 • 3x=210 • X = 70 • Angle Q =70 • AngleR is 2(70)=140

More Related