Polygons Flashcards
A union of non-collinear segments.
Polygon
The endpoint of a polygon.
Vertices
Terminology: Line segments that make up a Polygon.
Side
Terminology: segments that join non-consecutive segments.
Diagonal
Angles of a polygon formed by two sides.
Interior Angles
Angles formed by an extended line of a Polygon.
Exterior Angles
Types of Polygon: 3
Equiangular
Equilateral
Regular
All angles having the same length.
Equiangular
All sides are equal.
Equilateral
both equilateral & equiangular (all sides equal and angles equal)
Regular Polygon
Type of Polygon:
3 sides, provide the sum of its interior angles.
Triangle = 180
Type of Polygon:
4 sides, provide the sum of its interior angles.
Quadrilateral = 360
Type of Polygon:
5 sides, provide the sum of its interior angles.
Pentagon = 540
Type of Polygon:
6 sides, provide the sum of its interior angles.
Hexagon = 720
Type of Polygon:
7 sides, provide the sum of its interior angles.
Heptagon = 900
Type of Polygon:
8 sides, provide the sum of its interior angles.
Octagon = 1080
Type of Polygon:
9 sides, provide the sum of its interior angles.
Nonagon = 1260
Type of Polygon:
10 sides, provide the sum of its interior angles.
Decagon = 1440
Type of Polygon:
11 sides, provide the sum of its interior angles.
Undecagon = 1620
Type of Polygon:
12 sides, provide the sum of its interior angles.
Dodecagon = 1800
Measures less than 180
Convex Polygon
Measures more than 180
Concave Polygon
Solving for amount of Diagonals
n (sides) - 3
Solving for amount of Triangles
n (sides) - 2
Solving for Interior Angle
180 (n-2)
Solving for Sides
180 (n-2)
divided by
n
Sum of Exterior angles will always be _______ degrees.
360
Solving for exterior angles
n (sides) divided by 360 OR 360
—————–
n (sides)
