Polygons, Theorems 3-13/14 Flashcards
What is the definition of a polygon?
Polygon means “many angles”
Each segment intersects exactly two other segments, one at each endpoint.
No two segments with a common endpoint are collinear.
For now when we refer to polygons, in our case they are always convex.
What is a convex polygon?
A convex polygon is a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon.
For now when we refer to polygons, in our case they are always convex.
What is Theorem 3-13?
The sum of the measure of the angles of a convex polygon with n sides is (n-2)180.
What is Theorem 3-14?
The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.
What is a regular polygon?
If a polygon is both equiangular and equilateral, it is called a regular polygon.
What is an irregular polygon?
Polygons that are equiangular or equilateral are called irregular polygons.
How to figure out sides, measure of each exterior/interior angle of a polygon;
Use (n-2)180 to find the sum of the measures in a polygon, then divide by the number of sides to get the measure of each individual angle.
To find the measure of each exterior angle divide the number of sides by 360.
To find the number of sides if you know the measure of each exterior angle, divide that number into 360. Then you can use that to find the measure of each interior angle.
