1. 6.1 Polygons 6.2 Properties of Parallelograms Essential Question: How would you describe a polygon?

2. Polygons  Plane figure formed by three or more sides.  Each endpoint of a side is a vertex.  To name a polygon, list its vertices in order.

3. Polygons are named by the number of sides they have: Number of Sides Type of Polygon 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 7Heptagon Number of Sides Type of Polygon 8Octagon 9Nonagon 10Decagon 12Dodecagon nn-gon

4. Describing Polygons  Convex  Concave; (Hint: side is caved in)

5.  Equilateral  Equiangular  Regular – all angles and sides are the same. *do #1-13 from overhead

6.  Diagonal – segment that joins two vertices.

7. Interior Angles of a Quadrilateral  Angles of a quadrilateral add up to 360 °. *problems 14-16 from overhead

8. Assignment  P.325 #4-20, 24-26, 37-39, 41-45

9. 6.2 Parallelograms  Parallelogram- quadrilateral with both pairs of opposite sides parallel

10. 4 Properties of Parallelograms  If a quadrilateral is a parallelogram, then its opposite sides are congruent.

11.  If a quadrilateral is a parallelogram, then its opposite angles are congruent.

12.  If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

13.  If a quadrilateral is a parallelogram, then its diagonals bisect each other.

14. Examples: Using Properties of Parallelograms:

17. Assignment  Complete #1-21 from overhead  P. 333 #2-37 depending on time