Corresponding Angles – Definition – Examples Two angles that are corresponding are those that are located on the same side of a transversal in identical relative position. They typically result from a transversal cutting two lines, whether they are parallel or not. In other words corresponding angles formed when a transversal line cuts across two […]

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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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Alternate Exterior Angles – Definition – Examples and Properties What are alternate exterior angles? The term alternate exterior angles is often used when two lines are intersected by a third line(transversal). Alternate exterior 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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Horizontal Line: Definition, Formula, Properties and Examples What is a Horizontal Line? In Cartesian coordinate system, we draw a vertical and a horizontal line. (1) Y-axis is Vertical and (2) X-axis is horizontal lines on a plane. In coordinate system, meaning of horizon is a straight line that is mapped from left to right. A […]

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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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 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 […]

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Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]

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Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]

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