Octagon – Definition, Types, Formula, Properties, Examples What is an Octagon ? An octagon is a geometric shape that has eight sides and eight angles. The word “octagon” comes from the Greek words “okto,” meaning eight, and “gonia,” meaning angle. Here are some key characteristics of an octagon. Definition: An octagon is a polygon with […]

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Lines of symmetry in a regular octagon What is line of symmetry ? If a given line splits a given figure into two identical halves, we say that the line has a line of symmetry or that the figure is symmetrical about the line and line is called a line of symmetry or the axis […]

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Alternate Angles: Definition and Types In this tutorial we will learn definition and types of alternate angles. In geometry, alternate angles are a special kind of angles. Alternate interior angles are formed when a transversal intersect two parallel or non-parallel lines. If a straight line intersects two lines, in the same plane at two distinct […]

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Alternate Interior Angles – Definition – Examples – Properties What are alternate interior angles? The term alternate interior angles is often used when two lines are intersected by a third line(transversal). Alternate interior angles are formed when two lines are intersected by a third line. The third line is known as the transversal line. Alternate […]

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Vertical Line: Definition, Formula, Equation, Properties and Examples What is a Vertical Line? French Mathematician Rene Descartes trying to solve the problem of describing the position of a point on a plane with the Cartesian coordinate system and the cartesian plane. In Cartesian coordinate system, we derive a vertical and a horizontal line. When we […]

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             Type of Bar Graphs  In this lesson, we will learn about bar graph or bar chart. We also focus on the different type of bar graphs, definition of bar graph how to create bar graphs. A graphical representation of data, in which bars show comparisons between categories of data.A […]

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    Cartesian Coordinate System  Cartesian Coordinate system developed in seventeenth century by Rene Descartes the great French philosopher and mathematician. Cartesian Coordinate system, also called rectangular Coordinate system and used to position of points on a two dimensional or three dimensional plane.  Let’s briefly learn about Cartesian Coordinate system.           Cartesian Coordinate plane The plane is called Cartesian plane […]

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 Theorem – Alternate Interior Angles are Equal  If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Each pair of alternate interior angles are equal. i.e. ∠BQR = ∠CRQ and ∠AQR = ∠QRD […]

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If a transversal intersects two lines, such that a pair of alternate interior angles are equal then the two lines are parallel. Given: Two lines AB and CD, and PS be transversal intersecting, AB at Q and CD at R. Each pair of alternate interior angles are equal. i.e. ∠BQR = ∠CRQ and ∠AQR = ∠QRD To Prove: AB ∥ CD Proof: Transversal […]

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