Download Convex Concave Not Regular Regular or Irregular

6.1 page 323 – POLYGONS
Page
Convex
1
Concave
A polygon is EQUILATERAL if all of its sides are congruent.
A polygon is REGULAR if it is equilateral and equiangular.
Not Regular
or Irregular
Regular
6.1 page 323 – POLYGONS
Page
2
Polygons – each endpoint of a side is
a vertex of the polygon. Name the
polygon by listing its vertices
consecutively.
A diagonal of a polygon is a segment
that joins two nonconsecutive vertices.
Polygon PQRST has 2 diagonals from
point Q, QT and QS.
QUADRILATERALS
A quadrilateral can be divided into two triangles. Each triangle
has interior angles that add up to 180. The sum of the
measures of the interior angles of a quadrilateral is 2(180), or
360.
THEOREM 6.1 – Interior Angles of a Quadrilateral
m1 + m2 + m3 + m4 = 360.
6.1 page 323 – POLYGONS
Page
3
Number of sides Type of polygon
3
Triangle
4
Quadrilateral
5
Pentagon
6
Hexagon
7
Heptagon
8
Octagon
9
Nonagon
10
Decagon
12
Dodecagon
n-gon
n
14
14-gon
Polygons
Number
of sides Pattern? Pattern?
3
4
5
6
7
8
9
10
12
n
(n – 2)
180
1 x 180
2 x 180
Sum of
the
Angles
180
360
540
Pattern?
(n – 2)180
n
Each
Regular
Angle =
60
90
108
144
6.1 page 323 – POLYGONS
Page
4
14
Parallelograms
Properties (Proof Reasoning – Theorems that give you
legal right and authority)
 Consecutive angles
are supplementary.
 Opposite angles are
.
 Diagonals intersect at midpoint.
 Opposite sides are
.