Classifying Polygons
Angle Theorems
Solving for Angles
100
Name 2 components (parts of the definition) of a polygon:
- 2 dimensional
- closed figure
- 3 or more sides
- no curved sides
100
What is the sum of the interior angles of a quadrilateral?
360 degrees
100
Solve for the missing angle
125 degrees
200
Which one of these is a polygon? How do you know?
A - no curved edges, all closed sides, 2-dimensional
200
What is the sum of the exterior angles for any polygon?
360 degrees
200
What is the measure of each internal and external angle of a regular dodecagon?
Internal: 150 degrees
External: 30 degrees
300
What is the definition of a regular polygon?
A polygon with all sides and angles congruent.
300
What is the measure of each exterior angle of a regular nonagon?
40 degrees
300
Assuming the polygon is regular, what is the measure of each exterior angle?
72 degrees
400
How many sides does a "Hendecagon" have?
11
400
What is the sum of the interior angles of a 19-gon?
3060 degrees
400
Solve for X
X = 28
500
What is the difference between a convex polygon and a concave polygon?
convex - angles of the polygon are pointed outward
concave - at least 1 angle in the polygon caves in
500
Write the formula of the Sum of the Interior Angles of a Polygon:
S = 180(n - 2)
500
Solve for X (your answer may be a decimal)
X = 43.25