Section 6.1 Polygons.

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Presentation transcript:

Section 6.1 Polygons

Polygon Polygon – a closed figure with segments as sides.

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 of a polygon are congruent Regular – a polygon is both equilateral and equiangular

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

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 8 9 10 12 n

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 Hexagon 7 8 9 10 12 n

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 Hexagon 7 Heptagon/Septagon 8 Octagon 9 10 12 n

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 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 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 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.

Example x = 4

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