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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Right Angle – Definition, Example and Properties What is a right angle? When two straight lines are perpendicular to each other or intersect at 90º, they form a right angle. A right angle is represented by the symbol L. In our daily life we can see many real-life examples of the right angles. We can […]

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Plot Points on Cartesian Coordinate System Example: Plot the point (2, 3) and identify its position in which quadrant is located. First we will place a dot at the intersection of X and Y axis, which is the center of the Cartesian coordinate and known as the origin. From the origin, move 2 units going right. Our point is […]

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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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Perpendicular Lines   Definition: Perpendicular Lines A line intersect another line and the angle between them is a right angle or 900 then the lines are said to be “Perpendicular.” If a line AB perpendicular to CD, we write asAB ⊥ CD. Perpendicular denoted by  “⊥” If one of the angles formed by the intersection of two lines or line segments […]

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If a transversal intersect two parallel lines, then each pair of interior angles on the Same side of the transversal are Supplementary. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Sum of interior angles on the Same side of the transversal is Supplementary. […]

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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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Vertically Opposite Angles Theorem Vertical angles theorem or Vertically opposite angles theorem states that, If two lines intersect each other, then vertically opposite angles are equal. Given: In the above statement, given that two lines intersect each other, so let AB and CD are two lines intersect each other at O as shown in figure so […]

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Tangent of a Circle  Definition & Example  In this lesson we will learn about tangent of a circle, before understanding the concept of a circle, let us know about circle. Circle   Definition: A circle is a collection of all the points in a plane, whose all points are same distance from a fix point, is called  “Circle”. […]

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