Octagon – Definition – Shapes – Types – Formula – Properties What is an Octagon? An octagon is a geometric shape that falls within the category of polygons, specifically an eight-sided polygon. The term “octagon” is derived from the Greek words “okto,” meaning eight, and “gonia,” meaning angles. Below is a detailed exploration of octagons: […]
Read More →A pentagon is a five-sided polygon with five angles. Here are the key parts and properties of a pentagon: (1) Sides (Edges): A pentagon has five sides. Each side is a straight line segment that connects two adjacent vertices. In a regular pentagon, all sides are of equal length. In an irregular pentagon, the lengths […]
Read More →Pentagon – Properties In a pentagon the sum of the internal angles is equal to 540°. In a regular pentagon each interior angle measure is 108°, and each exterior angle measure is 72°. A regular pentagon has five axes of symmetry, each one of them passes through a vertex of the pentagon and the middle […]
Read More →Parallelograms – Properties A parallelogram is a special type of a polygon. it is a quadrilateral with both pair of opposite sides are parallel. Properties 1. Opposite sides are equal. Opposite sides, AB = CD and AC = BD 2. Opposite angles are equal. Opposite angles are ∠A = ∠D and ∠B […]
Read More →Diagonals of Polygon’s In geometry, a line segment joining two vertices of a polygon or polyhedron, when those vertices are not adjacent is known as Diagonal. Diagonals of Polygon’s A polygon’s diagonal’s are line segments, that joining from one corner to another corner. Formula for number of diagonals = n(n-3)/2 where n is number of sides or […]
Read More →Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]
Read More →If the diagonals of a Quadrilateral, bisect each other then that Quadrilateral is a Parallelogram Given: ABCD is a quadrilateral with AC and BD are diagonals and diagonals intersect each other at O. i.e. OA = OC and OB = OD To Prove: ABCD is a parallelogram. Proof: In △AOD and △COB […]
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