1. Chapter 6 Quadrilaterals Sec 6.1 Polygons

2. Polygon 1.Is a plane figure that is formed by 3 or more segments. No two sides with common endpoint are collinear (no curves). 2.Each side intersects exactly two other sides, one at each endpoint. Vertex Side

3. Types of Polygons Number of SidesType of Polygon 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 7Heptagon 8Octagon 9Nonagon 10Decagon 12Dodecagon nn-gon

4. Determine if the figure is a Polygon

5. Convex and Nonconvex/Concave  Convex: A polygon is convex if no line containing a side has points in the interior.  Concave: A polygon that is not convex. Which means a polygon that caves in.

6. Regular Polygon  A polygon that is equilateral and equiangular  Equilateral: All sides are equal  Equiangular: All angles are equal

7. Diagonal & Interior  ’s in a Quadrilateral  Diagonal: A segment that joins two nonconsecutive vertices.  Sum of  ’s in a quadrilateral is 360º

8. Examples  Find x and determine if the Quad is regular x°x° (x – 20)° x°x°80° x°x° 70° 2x°

9. 6.1 Pg. 325-326  4-6  12-20  24-30  37-46