Chapter 6-1 Introduction to Polygons

A polygon is a plane figure formed by _______ __________. Each segment is a _______ of the polygon. The common endpoint of two sides is the ____________ of the polygon. Polygons must be ______________ Polygons cannot have sides that _________ or ____________

 3  4  5  6  7  8  9  10  11  12  N By their sides

RELATIONSHIPS AMONG SIDES AND ANGLES

Diagonals of Polygons A diagonal of a polygon is a segment whose endpoints are nonconsecutive vertices. The number, d(n), of diagonals in a polygon with n sides is given by: Open your composition notebook (we will draw shapes):

Look for the patterns Sides4 Triangles2 Measure of 1 interior angle Sides5 Triangles 3 Measure of 1 interior angle Sides6 Triangles 4 Measure of 1 interior angle

# of Sides Name # of diagonals # of triangles Sum of interior angles Sum of Exterior angles 1 interior angle measure 1 exterior angle measure

coco coco 3c o Find the value of c, then the measure of each interior angle.

Find the value of w, then the measure of each interior angle. w+22 w w

Find the value of t, then the measure of each exterior angle. 7t 6t 2t 3t 2t

The figure is a regular hexagon—find x and y (x) o (y) o