In a parallelogram opposite sides are equal.  Given: A parallelogram ABCD, each pair of Opposite sides of parallelogram are side AB and side DC and side AD and side BC. To prove: Opposite sides of parallelogram are equal that is AB = DC    and    AD = BC  Construction: Join A to C that is AC, is a diagonal, the diagonal AC […]

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Quadrilateral – Definition – Properties There are kinds of quadrilaterals, based on the sides and angles.  1. Parallelogram 2  Rectangle 3. Square 4. Rhombus 5. Trapezium 6. kite 1.                       Parallelogram A Parallelogram is a quadrilateral, whose both pairs of opposite sides are parallel and equal in length. In above […]

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Quadrilaterals – Definition – Properties The word “quadrilateral” has two Latin words quadri, a variant of four and latus meaning is “side”.                    What is a quadrilateral A quadrilateral is a polygon, with four edges or sides and four vertex or corners. Just like as a triangle is 3 sides polygon, […]

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 2D Shapes – Names and Properties Definition and Properties  2-dimensional shapes have 2 dimensions length and width.  Rectangle  A rectangle is a 2-dimensional 4 sided polygon. A rectangle have 4 sides, 4 angles and 4 vertices. The total of 4 angles is 360 degree. Square A square is a 2-dimensional 4 sided polygon. A square have 4 sides, 4 angles and 4 vertices. The total of […]

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If the diagonals of a Quadrilateral, bisect each other then that Quadrilateral is a Parallelogram Given: ABCD is a quadrilateral with AC and BD are diagonals and diagonals intersect each other at O. i.e. OA = OC and OB = OD To Prove: ABCD is a parallelogram. Proof: In △AOD and △COB           […]

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