Section 6 1 Polygons Polygon a closed figure

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Section 6. 1 Polygons

Section 6. 1 Polygons

Polygon – a closed figure with segments as sides.

Polygon – a closed figure with segments as sides.

Definitions Convex – All the vertices of the polygon point “out”. Concave – A

Definitions Convex – All the vertices of the polygon point “out”. Concave – A polygon with at least one of the vertices pointing “in”.

Definitions Equilateral – all sides of a polygon are congruent Equiangular – all angles

Definitions Equilateral – all sides of a polygon are congruent Equiangular – all angles of a polygon are congruent Regular – a polygon is both equilateral and equiangular

Types of Polygons Number of sides 3 4 5 6 7 8 9 10

Types of Polygons Number of sides 3 4 5 6 7 8 9 10 12 n Name

Types of Polygons Number of sides Name 3 Triangle 4 5 6 7 8

Types of Polygons Number of sides Name 3 Triangle 4 5 6 7 8 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 6 7

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 6 7 8 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 7 8 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 8 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 Octagon 9 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 Octagon 9 Nonagon 10 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 Octagon 9 Nonagon 10 Decagon 12 n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon n

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6

Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon/Septagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon n n-gon

Theorem The sum of the interior angles of a quadrilateral is 360.

Theorem The sum of the interior angles of a quadrilateral is 360.

Example x=4

Example x=4

Homework pg 325 #12 -30, 37 -39, 41 -46

Homework pg 325 #12 -30, 37 -39, 41 -46