1. 2.5 – Classify Polygons

2. Polygon: 2. No sides overlap or cross 3. No curved sides 1. 3 or more sides 4. Closed figure

3. Side: Segments that connect to form the shape M T S R Q

4. Vertex: Corners of the polygon M T S R Q M T S R Q

5. Consecutive Sides: Sides with common point M T S R Q

6. Diagonal:Segment that joins two nonconsecutive vertices that go through the shape M T S R Q

7. Convex: Every vertex points away from the center of the shape (passes rubber band test) Concave: At least one vertex points into the shape

8. 1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Curved side Yes, Concave or Convex OR No, _________________

9. Yes, Concave or Convex OR No, _________________ 1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

10. Yes, Concave or Convex OR No, _________________ 1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

11. Yes, Concave or Convex OR No, __________________ Overlaps 1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

12. # of sidesName 3 4 5 triangle quadrilateral pentagon

13. # of sidesName 3 4 5 6 7 8 9 10 11 12 n triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 11-gon dodecagon n-gon

14. EquilateralEquiangularRegular All sides are equal All angles are equal All sides AND angles are equal

15. 2. Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

16. Hexagon

17. quadrilateral

18. Octagon

19. decagon

20. Heptagon

21. Quadrilateral

22. 3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x + 22. Find the length of a side of the quadrilateral. 8x – 6 4x + 22 8x – 6 = 4x + 22 4x – 6 = 22 4x = 28 x = 7 Side Length =8(7) – 6 = 50ft