5. Hip Bone’s connected to the…
Classifying Polygons
Polygons with 3 sides… Triangles
Polygons with 4 sides… Quadrilaterals
Polygons with 5 sides.. Pentagons
But wait we have more polygons
Polygons with 6 sides… Hexagons
Polygons with 7 sides… Heptagons
Polygons with 8 sides… Octagons
But still we have more polygons
Polygons with 9 sides… Nonagons
Polygons with 10 sides… Decagons
Polygons with 12 sides… Dodecagons
And now we have our polygons
6. F
Important Terms
A B
C
E D
A VERTEX is
the point of
intersection of
two sides
A segment whose
endpoints are two
nonconsecutive
vertices is called
a DIAGONAL.
CONSECUTIVE
VERTICES are two
endpoints of any side.
Sides that share a vertex are called
CONSECUTIVE SIDES.
7. More Important Terms
EQUILATERAL - All sides are congruent
EQUIANGULAR - All angles are congruent
REGULAR - All sides and angles are congruent
9. # of
sides
# of
triangles
Sum of
measures of
interior angles
3 1 1(180) = 180
4 2 2(180) = 360
5 3 3(180) = 540
6 4 4(180) = 720
n n-2 (n-2) ·180
10. If a convex polygon has n sides,
then the sum of the measure of the
interior angles is
(n – 2)(180°)
11. Ex. 1 Use the regular pentagon to
answer the questions.
A)Find the sum of the
measures of the interior
angles.
540°
B)Find the measure of
ONE interior angle
108°
13. If any convex
polygon, the sum of
the measures of the
exterior angles, one at
each vertex, is 360°.
1
2
3
4
5
mÐ1+mÐ2 +mÐ3+mÐ4 +mÐ5 = 360
14. If any convex
polygon, the sum of
the measures of the
exterior angles, one at
each vertex, is 360°.
1
3
2
mÐ1+mÐ2 +mÐ3 = 360
15. If any convex
polygon, the sum of
the measures of the
exterior angles, one at
each vertex, is 360°.
1
3
2
4
mÐ1+mÐ2 +mÐ3+mÐ4 = 360
16. Ex. 2 Find the measure of ONE exterior
angle of a regular hexagon.
sum of the exterior angles
number of sides
=
60°
=
360
6
17. Ex. 4 Each exterior angle of a polygon
is 18°. How many sides does it have?
exterior angle
sum of the exterior angles =
n = 20
number of sides
360
=18
n