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.
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Apothem: The altitude of each isosceles triangle from the principal angle 0.
Diagonals: line segments joining two non-consecutive vertices from a given vertex.
The sum of the interior angles of a polygon is:
S = (n - 2) x 180⁰
(n – 2) x 180⁰
a = __________
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 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