1. 1.6 – Classify Polygons

2. Polygon:
1. Has at least 3 sides
2. No sides overlap
3. No curved sides

3. Side:
Line segment forming the polygon M Q T R S

4. Vertex:
Point where two sides meet M M T Q S T R Q R S

5. Consecutive Sides:
Two sides that share a point, one after the other M Q T R S

6. Diagonal:
Segment that joins two nonconsecutive sides M Q T R S

7. triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB # of sides
Name
Notation 3 4 5
triangle
ABC
quadrilateral
Quad BDAC
pentagon
Pent ADECB B B D A A C D B A C C E

8. triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB hexagon Hex
# of sides
Name
Notation 3 4 5 6 7 8 9 10 11 12 n
triangle
ABC
quadrilateral
Quad BDAC
pentagon
Pent ADECB
hexagon
Hex
heptagon
Hept
octagon
Oct
nonagon
decagon
? Extra Credit!
11-gon
dodecagon
n-gon

9. Convex:
Passes the rubberband test
Concave:
Not convex! Think of a cave going inward!

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

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

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

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

14. All sides are congruent All angles are congruent
Equilateral
Equiangular
Regular
All sides are congruent
All angles are congruent
All sides AND all angles are congruent

15. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Hexagon
Regular
All sides and angles 

16. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
quadrilateral
Regular
All sides and angles 

17. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Octagon
Equiangular
All angles , but not all sides

18. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
decagon
equilateral
All sides , but not all angles

19. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Heptagon
Regular
All sides and angles 

20. Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Quadrilateral
Equilateral
All sides , but not all angles

21. 8x – 6 = 4x + 22 4x – 6 = 22 4x = 28 x = 7 Side Length = 8(7) – 6 =
3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x Find the length of a side of the quadrilateral.
8x – 6 = 4x + 22
8x – 6
4x – 6 = 22
4x + 22
4x = 28
x = 7
Side Length =
8(7) – 6 =
50ft

22. HW Problem # 40a (hexagon) 6 9 1.6 44-47
1-13 odd, 14, odd, 37, 40(a only), 41
# 40a (hexagon) 6 9