Chapter 6.1: Polygons

Question 1

Polygon

Answer 1

a plane figure that is formed by three or more segments called sides, such that the following are true…

1. Each side intersects exactly two other sides, once at each endpoint.
2. No two sides with a common endpoint are collinear.

Question 2

Convex

Answer 2

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

Question 3

Concave

Answer 3

a polygon is concave (non convex) if at least one line that contains a side of the polygon contains a point in the interior of the polygon.

Question 4

Diagonal

Answer 4

a segment that joins two nonconsecutive vertices.

Question 5

Equilateral

Answer 5

a polygon is equilateral if all its sides are congruent.

Question 6

Equiangular

Answer 6

a polygon is equiangular if all its interior angles are congruent.

Question 7

Regular

Answer 7

a polygon is regular if it is equilateral and equiangular.

Question 8

Chart on page 268...
Number of Sides
3
4
5
6
7
8
9
10
12
n

Answer 8

triangle
quadrilateral
pentagon
hexagon
heptagon
octagon
nonagon
decagon
dodecagon
n-gon