6.1 Exploring Polygons

Question 0

convex polygon

Answer 0

no line that contains a side of the polygon contains a point that is in the interior of the polygon

Question 1

polygon

Answer 1

a plane figure that is formed by 3 or more segments, called sides, so that 2 things are true:

1. each side intersects EXACTLY 2 other sides, once at each endpoint
2. no two sides with a common endpoint are collinear

Question 2

concave polygon (aka ??)

Answer 2

(aka non-convex)

at least one line that contains a side of the polygon contains a point that is in the interior of the polygon

Question 3

rubberband test

Answer 3

if a rubberband would fit snuggly around all sides of the shape, it’s convex

Question 4

names of polygons-based on # of sides
3 sides-                    8 sides-
4 sides-                    9 sides-
5 sides-                   10 sides-
6 sides-                   12 sides-
7 sides-                   n sides-

Answer 4

triangle                     octagon
quadrilateral             nonagon
pentagon                 decagon
hexagon                  dodecagon
heptagon                 n-gon(# of sides-gon)

Question 5

how do you name a polygon?

Answer 5

list its vertices consecutively

Question 6

diagonal

Answer 6

a segment that joins two nonconsecutive vertices

Question 7

equilateral polygon

Answer 7

ALL sides are congruent

Question 8

equiangular polygon

Answer 8

ALL INTERIOR angles are congruent

Question 9

does an equilateral polygon have to be equiangular and vice versa?

Answer 9

NO!!!

Question 10

regular polygon

Answer 10

a polygon that is equilateral AND equiangular