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: […]

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Hexagon – Definition – Shapes – Types – Formula – Properties What is a Hexagon? A hexagon is a six-sided polygon with various properties and types. The word “hexagon” comes from the Greek words “hex,” meaning six, and “gonia,” meaning angle. Here’s a detailed breakdown: Definition A hexagon is a polygon with six edges (sides) […]

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Pentagon – Definition – Shapes – Types – Formula – Properties What is a Pentagon? The geometric shape known as a pentagon has five sides and five angles. Penta means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon’s internal angles add up to 540 degrees […]

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Numbers-Definition, Types, Properties Numbers are fundamental mathematical objects used to count, measure, and label. They are one of the most basic and essential tools in mathematics and come in various types and forms. Here’s a detailed explanation of different types of numbers: (1) Natural Numbers (ℕ) Natural numbers are the simplest form of numbers used […]

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Complex Numbers-Definition, Formula, Properties Complex numbers are an extension of the real numbers, allowing for the inclusion of solutions to equations that do not have real solutions. Here’s a detailed explanation: Definition A complex number is of the form: z=a+bi Where: a and b are real numbers. i is the imaginary unit, defined by the […]

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Co-internal angles Co-interior angles, also known as consecutive interior angles or same-side interior angles, are pairs of angles that lie on the same side of a transversal and inside the two lines it intersects. These angles have specific properties depending on whether the lines they intersect are parallel or not. Definition and Identification (1) Transversal […]

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Real Numbers Real numbers are a fundamental concept in mathematics, representing all the possible numbers along the continuous number line. They encompass various types of numbers, including rational numbers, irrational numbers, integers, and natural numbers. Here’s a detailed explanation of real numbers: Definition and Classification Real numbers are the set of numbers that include all […]

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Universal algebra is a field of mathematics that studies algebraic structures and the general principles that apply to them. It aims to understand and formalize the common features and behaviors of different types of algebraic systems, such as groups, rings, fields, lattices, and more. Here’s a detailed explanation of the key concepts in universal algebra: […]

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Geometry is a branch of mathematics that deals with the study of shapes, sizes, properties, and the relationships between points, lines, angles, surfaces, and solids. It is fundamental to understanding spatial relationships and plays a crucial role in various fields such as architecture, engineering, physics, computer graphics, and art. Here’s a detailed explanation of geometry […]

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Equivalent Rational Numbers – Definition – Examples Rational Numbers A rational number can be represented in the form of p/q, where q is not equal to zero. Equivalent Rational Numbers Two rational numbers are said to be equivalent, if they have same value but can be represented in different forms. We know that if we […]

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