Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-…
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9/22/2021 Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-… FlexiPrep Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram (For CBSE, ICSE, IAS, NET, NRA 2022) Get unlimited access to the best preparation resource for competitive exams : get questions, notes, tests, video lectures and more- for all subjects of your exam. Definition A Parallelogram is a two-dimensional shape in sides are parallel to each other. In Euclidean geometry, a parallelogram can be defined as a simple quadrilateral with two pairs of parallel sides. In other words, we can define a parallelogram as a quadrilateral with two pairs of parallel sides. Basic Properties of a Parallelogram Total number of sides are four. Total number of vertices are four. Mutually parallel sides are two. The opposite angles are congruent. Area is equal to the multiplication of base and height. Perimeter is twice the sum of adjacent sides length. The sum of adjacent angles of a parallelogram is equal to 180 degrees. The sum of all the interior angles equals 360 degrees. 1 of 5 9/22/2021 Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-… ©FlexiPrep. Report ©violations @https://tips.fbi.gov/ In the above figure and Also, we have and ; and Since are supplementary and are supplementary, and Types of a Parallelogram Rhomboid The opposite pair of sides are parallel. The opposite sides of a rhomboid are also congruent. The diagonal divides the rhomboid into two congruent triangles. The opposite angles of a rhomboid are also congruent. The sum of interior angles of a rhomboid is equal to 360 degrees. A rhomboid becomes a rhombus if all the sides become equal and therefore a rhombus is always a rhomboid. Rectangle A parallelogram with four angles of equal size (right angles) . In a rectangle the diagonals are congruent. 2 of 5 9/22/2021 Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-… The opposite sides are equal in a rectangle. Each angle in the rectangle is the angle bisector of the opposite angle. Rhombus A parallelogram with four sides of equal length. A rhombus is an equilateral quadrilateral. An equilateral quadrilateral is one in which all the sides are equal. In case of a kite, when all the sides become equal in length the kite becomes a rhombus. Square A parallelogram with four sides of equal length. The angles of equal size (right angles) . The diagonals are perpendicular bisectors of each other. The lengths of the diagonals are equal. All such squares in which the diagonals are congruent and bisect the angles are termed as parallelogram. Every square is a rectangle and a rhombus. Area of the Parallelogram ©FlexiPrep. Report ©violations @https://tips.fbi.gov/ 3 of 5 9/22/2021 Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-… ©FlexiPrep. Report ©violations @https://tips.fbi.gov/ In the given parallelogram b is the base and h is the height and it can be divided into a trapezoid and a right triangle, Also in the second figure a parallelogram has been rearranged into a rectangle. Therefore, the area of a parallelogram is the same as that of a rectangle with the same base and height 4 of 5 9/22/2021 Parallelogram: Definition of a Parallelogram, Basic Properties of a Parallelogram, Shape of a Parallelogram, Types of Parallelogram-… ©FlexiPrep. Report ©violations @https://tips.fbi.gov/ In the above parallelogram the area is Perimeter of Parallelogram Perimeter = 2 (a + b) units Developed by: Mindsprite Solutions 5 of 5.