Vertex – Definition and Examples  Vertex – Latin word Vertex meaning, “highest point”. What is Vertex? Vertex is a point where two or more rays or line segments are meet. When two rays or line segments meet, simply it is a corner, they form an angle. Definition: A vertex is a point on a polygon, where […]

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  Point When by a sharp tip of the pencil, mark a dot on the paper  it will be the point. A point has only position, It has no size and an exact location. It is almost invisible. Drag three points on a paper, they are show as dots, so we can see them      […]

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The angle at the centre of a circle is twice the angle at the circumference, when both are subtended by the same arc.  Given: A circle with centre at O, arc BC of this circle subtends angles ∠BOC at centre O and ∠BAC at a point A remaining part of the circle.   To Proof: ∠BOC […]

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Prove that the angle in a semicircle is a right angle                           or Angle subtended by a diameter/Semicircle on any circle on any point of circle is 90º. Given: A circle O with centre O. BC is the diameter of circle subtending ∠BAC at […]

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 Trapezium – Definition – Properties Altitude – Midsegment –  Angles – Formula  Definition: A trapezium is a flat closed quadrilateral with 4 straight sides with one pair of parallel sides. The sides can be vertical, horizontal or slanting.A trapezium is also known as a trapezoid. The parallel sides is called the base and the non […]

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Bar Notation – Definition & Examples Definition:                                      Bar notation   Bar notation is a easier way of writing the same repeating digits or decimals after the decimal point.     A bar notation shows that  the number pattern […]

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Rational and Irrational numbers Usually most students feel difficult to understand the difference between rational and irrational numbers with the help of their definitions. First we know about the terms that are useful to understand the concept of rational and irrational numbers. 1. Perfect square:  If we multiply an integer with itself or same integer, we […]

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Circumscribes and Inscribed Circles Circumscribed Circle The circumscribed circle is one and only one circle that always passes through all three vertices (corners) of the triangle.  The center of the circumscribed circle is a point where all the three perpendicular bisectors of the triangles sides are meet. The center of the circumscribed circle is known ascircumcenter of the triangle. […]

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Geometry Introduction Geometry comes from the Greek meaning “Earth measurement”.     Geometry is a branch of mathematics, and concerned with visual study of shapes, sizes, properties and patterns.    A mathematician who works in the field of geometry is called a Geometer.    Geometry can be divided into:   1. Plane geometry   2. Solid geometry […]

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