# a quadrilateral whose diagonals are perpendicular bisectors of each other

A rhombus is a proper subset of a square. Regents Exam Questions G.CO.C.11: Special Quadrilaterals 2 Page 3 Name: _____ 15 Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals? The answers of the given questions, are as follows-. Textbook Solutions 5346. Property of the quadrilateral : Diagonals are perpendicular bisectors of each other. Advertisement Remove all ads. - The quadrilateral will be a parallelogram is this case. Name the Quadrilaterals Whose Diagonals Are Perpendicular Bisectors of Each Other . But let’s prove it. Rhombus 2. Syllabus. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Their four ends must form a diamond shape — a rhombus. CBSE CBSE Class 8. The quadrilateral is a parallelogram with perpendicular diagonals C. The quadrilateral is both a rhombus and a rectangle D. The quadrilateral has 4 congruent sides and 4 congruent angles ... A quadrilateral whose diagonals bisect each other and are perpendicular is a: 1. 1) the rhombus, only 2) the rectangle and the square 3) the rhombus and the square 4) the rectangle, the rhombus, and the square 16 In a certain quadrilateral… Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°). Yep. If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a … It becomes a square when its every angle is a right angle. Parallelogram. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it’s a rhombus (converse of a property). 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. (The two diagonals of a parallelogram bisect each other.) Concept Notes & Videos 273. A rhombus is a parallelogram whose diagonals are perpendicular to each other. Rectangle 3. If those diagonals are perpendicular bisectors, then we can prove all of these triangles congruent by SAS. - The quadrilateral will be a rhombus in this case. Question Bank Solutions 4773. Trapezoid 4. 1. Properties of a Rhombus The diagonals are perpendicular to and bisect each other. perpendicular If a quadrilateral is a kite, then its diagonals are _____. A square is a 4 sided figure whose diagonals bisect each other at right angles. Property of the quadrilateral: Diagonal bisects each other. asked Sep 22, 2018 in Class IX Maths by muskan15 ( -3,443 points) quadrilaterals Ex .8.1,3 (Method 1) Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Tip: To visualize this one, take two pens or pencils of different lengths and make them cross each other at right angles and at their midpoints. A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent. The diagonals of a quadrilateral form 4 small triangles.

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