A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). Vedantu academic counsellor will be calling you shortly for your Online Counselling session. • A square is a special type of parallelogram whose angles and sides are equal. (ii) are perpendicular bisectors of each other The names of the quadrilaterals whose diagonals are perpendicular … • Opposite angles which are formed at the point where the diagonals meet are congruent. The diagonals of a square perpendicular bisect each other; Rectangle Properties. … 1 Answer. Quadrilaterals can be defined as, types of polygons that have four sides, four vertices, and four angles along with a pair of diagonals. The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is: a) 21cm b) 42 cm c) 19 cm d) 38 cm. The quadrilaterals that have perpendicular diagonals are "square," "rhombus" and "kite." They are all 2D structures. (iii) The quadrilaterals whose diagonals are equal can be a square or a rectangle. Other names for quadrilateral include quadrangle (in analogy to triangle), tetragon (in analogy to pentagon, 5-sided polygon, and hexagon, 6-sided polygon), and 4-gon (in analogy to k-gons for arbitrary values of k).A quadrilateral with vertices , , and is sometimes denoted as .. Mark (1) Q 6 Name a quadrilateral with exactly one pair of parallel sides. • A rectangle is a unique type of parallelogram in which all the angles are right. (iii) are equal The diagonals of a quadrilateral are equal if its all the angles are equal . Name the type of the parallelogram The square has the following properties: All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). A quadrilateral is a parallelogram if 2 pairs of sides parallel to each other. If diagonals of a quadrilateral bisect each other then it is a parallelogram-If both pairs of opposite sides of a quadrilateral are parallel then it is a parallelogram-If opposite sides in a quadrilateral are both parallel and congruent then it is a parallelogram-If a triangle is equilateral then it is equiangular-If a triangle is equiangular, then it is equilateral-If a parallelogram has at least one right angle then it is a … • Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other. Two adjacent angles of a parallelogram have equal measure. Question. Mark (1) Q 7 Find x in the following figure. The diagonals are congruent. 173 Diagonals of a quadrilateral are perpendicular to each other. Q 8 Use the figure given below to find x + y + z. Given: A quadrilateral ABCD whose diagonals AC and BD are perpendicular to each other at O. P,Q,R and S are mid points of side AB, BC, CD and DA respectively are joined are formed quadrilateral PQRS. The diagonals of a rhombus and square act as perpendicular bisectors. Is such a quadrilateral always a rhombus? Adjacent: It is the side adjacent to the angle being considered. Squares. If the diagonals of a quadrilateral are perpendicular to each other,it is a square but it is a rhombus as diagonals of rhombus are also perpendicular. Pro Subscription, JEE Main & Advanced Repeaters, Vedantu Marks (2) 'RZQORDGHGIURPZZZ VWXGLHVWRGD\ FRP. As the name itself suggest the word is a combination of two Latin words ‘ Quadri ‘ means a variant of four, and ‘ latus ‘ means side. Name the quadrilaterals whose diagonals are perpendicular bisectors of each other. Explain why a rectangle is a convex quadrilateral. Types of Quadrilaterals - Properties of Rhombus, Chapter 3: Understanding Quadrilaterals - Exercise 3.4 [Page 55], CBSE Previous Year Question Paper With Solution for Class 12 Arts, CBSE Previous Year Question Paper With Solution for Class 12 Commerce, CBSE Previous Year Question Paper With Solution for Class 12 Science, CBSE Previous Year Question Paper With Solution for Class 10, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Arts, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Commerce, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Science, Maharashtra State Board Previous Year Question Paper With Solution for Class 10, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Arts, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Commerce, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Science, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 10. 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