Regular Polygons. A polygon is regular if all sides and interior angles are congruent. Congruent : same size, same shape. Apothem : The altitude of each isosceles triangle from the principal angle 0. Diagonals : line segments joining two non-consecutive vertices from a given vertex.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Apothem: The altitude of each isosceles triangle from the principal angle 0.
Diagonals: line segments joining two non-consecutive vertices from a given vertex.
Interior Angle of a Regular polygon
The sum of the interior angles of a polygon is:
S = (n - 2) x 180⁰
The measure a of one of the interior angles in a regular polygon is:
(n – 2) x 180⁰
a = __________
Convex and Concave
A polygon is convex if each of its interior angles measure less than 180⁰.
If not, then it is called “concave”.
The axis of symmetry of a line is called:
The right bisector
The axis of symmetry of an angle is called
The angle bisector.
Perimeter= number of sides x side length
Ex: A regular pentagon with 2 cm side length has a perimeter of:
P = 5 x 2
P = 10cm
The area of a regular polygon is equal to:
Perimeter x apothem ÷ 2
Ex: The area of a regular pentagon with side length of 8cm and the apothem measuring 3cm is:
A = 5 x 8 x 3 ÷ 2
A = 60cm²