3-5 Flashcards
polygon
a closed figure formed by coplanar segments such that each segment intersects exactly two other segments, on eat each endpoint, and no two segments with a common endpoint are collinear
how do you name a polygon other than a triangle?
naming its consecutive vertices in a clockwise or counterclockwise order
diagonal
a segment which connects 2 nonconsecutive vertices
convex polygon
all diagonals are interior
concave polygon
at least one diagonal is exterior
how is a polygon classified?
by the number of sides it has
3
triangle
4
quadrilateral
5
pentagon
6
hexagon
7
heptagon
8
octagon
9
nonagon
10
decagon
12
dodecagon
n
n-gon
regular polygon
convex polygon which is both equilateral and equiangular
(th 3-3)
in a convex polygon (n-gon), the sum of the interior angles is ______
(n-2)180
to find the number of sides in a polygon given the angle sum
(angle sum)/180 + 2
(th 3-14)
the sum of the ext angles of a convex polygon is ______ degrees
360
to find the measure of each angle of a regular polygon, divide ______ by the number of ______ and then subtract that from 180 (LPP)
360, sides