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Polygons and its secrets

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1. Two polygons are similar if their corresponding angles are congruent and the
corresponding sides have a constant ratio (in other words, if they are proportional).
Typically, problems with similar polygons ask for missing sides.
retrieved: https://www.brightstorm.com/math/geometry/similarity/properties-ofsimilar-polygons/
2. A regular polygon is an -sided polygon in which the sides are all the same length and
are symmetrically placed about a common center (i.e., the polygon is
both equiangular and equilateral).
retrieved: https://mathworld.wolfram.com/RegularPolygon.html
3. A. Apothem is a line drawn from the center of any polygon to the midpoint of one of the
sides.
Retrieved: https://www.cuemath.com/geometry/apothem/
B. A central angle of a regular polygon is an angle whose vertex is the center and whose
rays, or sides, contain the endpoints of a side of the regular polygon.
Formula - central angle = 360 / N degrees
Retrieved: https://www.mathopenref.com/polygoncentralangle.html
C. A diagonal is a segment that connects two non-consecutive vertices in a polygon.
The number of diagonals in a polygon that can be drawn from any vertex in a polygon is
three less than the number of sides.
Formula: To find the total number of diagonals in a polygon, multiply the number of
diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each
diagonal is counted twice).
Retrieved: https://www.brightstorm.com/math/geometry/reasoning-diagonals-anglesand-parallel-lines/number-of-diagonals-in-a-polygon/
D. An interior angle of a polygon is an angle formed inside the two adjacent sides of a
polygon.
For a regular polygon, all the interior angles are of the same measure. But for irregular
polygon, each interior angle may have different measurements.
Retrieved: https://byjus.com/maths/interior-angles-of-a-polygon/
E.
The Sum of interior angles of a polygon is always a constant value. If the polygon is
regular or irregular, the sum of its interior angles remains the same. Therefore, the sum of
the interior angles of the polygon is given by the formula:
Sum of the Interior Angles of a Polygon = 180 (n-2) degrees
Retrieved: https://byjus.com/maths/interior-angles-of-a-polygon/
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