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. Trapezoid 4. Rhombus 2. A square is a 4 sided figure whose diagonals bisect each other at right angles. 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? Question Bank Solutions 4773. - The quadrilateral will be a rhombus in this case. Property of the quadrilateral: Diagonal bisects each other. Their four ends must form a diamond shape — a rhombus. Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°). - The quadrilateral will be a parallelogram is this case. Concept Notes & Videos 273. 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. Rectangle 3. The answers of the given questions, are as follows-. Yep. A rhombus is a proper subset of a square. Advertisement Remove all ads. 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… If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it’s a rhombus (converse of a property). 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. Properties of a Rhombus The diagonals are perpendicular to and bisect each other. The diagonals of a quadrilateral form 4 small triangles. Syllabus. asked Sep 22, 2018 in Class IX Maths by muskan15 ( -3,443 points) quadrilaterals If those diagonals are perpendicular bisectors, then we can prove all of these triangles congruent by SAS. Parallelogram. perpendicular If a quadrilateral is a kite, then its diagonals are _____. Property of the quadrilateral : Diagonals are perpendicular bisectors of each other. But let’s prove it. 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. 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 … 1. Textbook Solutions 5346. It becomes a square when its every angle is a right angle. CBSE CBSE Class 8. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Name the Quadrilaterals Whose Diagonals Are Perpendicular Bisectors of Each Other . A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent. (The two diagonals of a parallelogram bisect each other.) A rhombus is a parallelogram whose diagonals are perpendicular to each other.

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