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1. POLYGONS

2. PLANE GEOMETRIC FIGURES

FOR EXAMPLE: Pentagon PENTA
A polygon is a plane figure E

formed by three or more

segments such that each , N
segment intersects exactly
two others, one at each
endpoint, and no two
segments with a common
endpoint are collinear.

3. Consecutive sides

FOR EXAMPLE:
PA and PE are consecutive sides

Two sides of a E
polygon that share a

common endpoint P

are called

consecutive sides.

4. Consecutive Angles

FOR EXAMPLE:
ZP and ZE are consecutive angles

E

Two angles which
vertices are endpoints, N
of the same side are
called consecutive
angles

5. Included Side

FOR EXAMPLE:
PA is included side of ZP and ZA
E

The common side of
two consecutive , N
angles is called the
included side of the
two angles.

6. FOR
EXAMPLE:

Included Angle

ZP is the included angle of AP
and PE

The angle containing the
common vertex of two
consecutive sides is called E
the included angle of the

two sides.

7. Diagonal

FOR
EXAMPLE:
AE is one of the diagonals of PENTA

A segment joining any

two nonconsecutive , N
vertices is called a

diagonal of the

polygon. \

8. REGULAR AND IRREGULAR
POLYGONS

9. REGULAR POLYGONS

A polygon with congruent sides
and congruent angles is a
regular polygon. Otherwise, it is
an irregular polygon.

10. REGULAR POLYGONS

Triangle Quadrilateral Pentagon Hexagon

0000

Heptagon Octagon Nonagon Decagon

11. IRREGULAR POLYGONS

3
sides
Scalene Rectangle Irregular Irregular
Triangle Pentagon Hexagon
8 10
| sides sides
Irregular Irregular Irregular Irregular

Heptagon Octagon Nonagon Decagon

12. Polygonal Region

A polygon that completely
encloses a region of the plane is
called the interior. A polygon and
its interior form a polygonal region.
The points of the plane that do not
lie on the polygonal region lie on
the exterior of the polygon. Some
polygonal regions "bend inward,"
while others do not. The polygonal
regions that bend inward are called
concave, and those that do not
are called convex.

Exterior

13. A more formal definition of convex and

concave polygonal regions is given below

» À polygonal region is convex if segment PQ
joining any two points P and Q of the region
is a part of the region. If the region is not
convex, then it is concave.

14. CONVEX AND CONCAVE POLYGONAL

REGION

» A polygon that determines a
convex region is called a convex
polygon. A polygon that
determines a concave region is
called a concave polygon. Most of
the polygons that you will study will
be convex. In this book, when a
polygon is used, it will mean a Every interior angle Have at least one angle
convex polygon. is less than 180° greater than 180°

15. CONVEX AND CONCAVE POLYGONAL

REGION

Convex and Concave Polygons MATE

Convex Concave

16. CONVEX AND CONCAVE POLYGONAL

REGION

CONVEX PENTAGON CONCAVE PENTAGON

At least one
interior
angle is
greater
than

180°.

=Z— Allinterior >

angles are

less than
180%. mu

17. CONVEX AND CONCAVE POLYGONAL

REGION

Convex and Concave Hexagons MATH

Convex Concave

18. CONVEX AND CONCAVE POLYGONAL

REGION

CONVEX CONCAVE