Polygon Properties and Classification
undefined
A
Polygon
is a
closed
plane figure with at
least three
sides
. The sides intersect only at
their endpoints, and no adjacent sides are
collinear.
A. B. C.
Identify the vertices
Identify the sides
Identify the angle
To name a polygon, start
with any vertex and list the
vertices consecutively.
COPY the blue table from page 144 into your
notebooks.
A
convex polygon
has no diagonal with
points outside the polygon.
A
concave polygon
has at least one diagonal
with points outside the polygon.
Classify each polygon by its sides. Identify
each as either convex or concave.
The sum of the measures of the angles of an
n-gon is:
Sum = (n-2)180
n = number of sides
PROOF - Triangle
A.
B. The sum of a decagon
Find m<A in pentagon ABCDE
The sum of the measures of the exterior
angles of a polygon, one at each vertex, is
360.
Equilateral Polygon
– all sides congruent.
Equiangular Polygon
– all angles congruent
Regular Polygon
– both equilateral and
equiangular.
Find the measure of an interior angle and an
exterior angle of each REGULAR polygon.
Explore the fundamental concepts of polygons, such as vertices, sides, angles, and classifications like convex and concave polygons. Learn about the interior and exterior angles of polygons, the sum of angle measures, and the properties of regular polygons. Discover how to identify, classify, and calculate angles within polygons.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
A Polygon is a closed plane figure with at least three sides. The sides intersect only at their endpoints, and no adjacent sides are collinear. A. B. C.
Identify the vertices Identify the sides Identify the angle To name a polygon, start with any vertex and list the vertices consecutively.
COPY the blue table from page 144 into your notebooks.
A convex polygon has no diagonal with points outside the polygon.
A concave polygon has at least one diagonal with points outside the polygon.
Classify each polygon by its sides. Identify each as either convex or concave.
The sum of the measures of the angles of an n-gon is: Sum = (n-2)180 n = number of sides PROOF - Triangle
A. B. The sum of a decagon
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
Equilateral Polygon all sides congruent. Equiangular Polygon all angles congruent Regular Polygon both equilateral and equiangular.
Find the measure of an interior angle and an exterior angle of each REGULAR polygon.
