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Class: 9th | Mathematics (FBISE) | Lecture # | Unit #11 | Theorem #11.1.2 | Quadrilateral | Parallelogram | If two opposite sides of a quadrilateral are congruent and parallel it is a parallelogram | Mathematics Science Group | Dear viewers, it is my pleasure to deliver you mathematics tutorials in simple and native language so that you can get it easily | #MathsMadeEasy is a channel where you can improve your #Mathematics | This is an education channel where maths made easy will try to solve your problems | Students may send the problems they are facing through comments | Quadrilaterals: Classification A quadrilateral is a polygon with four sides. There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . A parallelogram also has the following properties: Opposite angles are congruent; Opposite sides are congruent; Adjacent angles are supplementary; The diagonals bisect each other. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent. A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi . A rhombus has all the properties of a parallelogram, plus the following: The diagonals intersect at right angles. A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.) An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. (This definition excludes rhombi. Some textbooks say a kite has at least two pairs of adjacent congruent sides, so a rhombus is a special case of a kite.) A scalene quadrilateral is a four-sided polygon that has no congruent sides.