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