The diagonals of a rhombus are perpendicular. heart outlined. The two diagonals of the rhombus form a cross when they intersect each other, thus they are perpendicular. report flag outlined. arrow right. Explore similar answers. messages. Get this answer verified by an Expert A rhombus is a four-sided shape where all sides have equal length (marked "s"). Also opposite sides are parallel and opposite angles are equal. Another interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. In other words they "bisect" (cut in half) each other at right angles Q. Prove that a quadrilateral is rhombus if and only if diagonals bisect each other at right angle. Q. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is rhombus. Q. Question 3
What Quadrilateral Has Perpendicular Diagonals? - Reference.com
Solution. Concept: 1 Mark. Proof: 2 Marks. Consider a rhombus ABCD. Let O be the point of intersection of the diagonals AC and BD. In ΔAOD and ΔCOD, OA= Prove that the diagonals of a rhombus are perpendicular. Proof. For any rhombus, we can take the vertices to be the origin, and the points, and in. So, the diagonals are the vectors and. Then, since the edges of a rhombus are of equal length. Related. Apostol - Calculus 1; Exercises; Prove that in a rhombus, the diagonals are perpendicular to each other. Class 8. >> Maths. >> Understanding Quadrilaterals. >> Some Special Parallelograms. >> Prove that in a rhombus, the diagonals a. Question
Diagonals of a rhombus are equal and perpendicular to each …
This is because a rhombus has opposite sides that are parallel, and the diagonals bisect each other at a right angle. 3) The diagonals of a rectangle are sometimes equal. This is true only if the rectangle is a square (where all four sides are equal) or if the rectangle is a " golden rectangle " (where the ratio of the longer side to the shorter side is The diagonals of a kite intersect at a right angle and have exactly one pair of opposite angles congruent. But does not have congruent diagonals. If the quadrilateral is rectangle, square, isosceles trapezoid then only the diagonals are congruent. Rhombus also does not have congruent diagonals. The only option whose diagonals are While it is true that a rhombus has perpendicular diagonals, the opposite is not necessarily true. A parallelogram may have perpendicular diagonals, but it may We know that the angle of a line is °. Thus, ∠ B O C + ∠ D O C = °. Since the sum of angles ∠ B O C and ∠ D O C is ° and that they are also equal, it must be that they measure 90 °. This implies that line A C and D B are perpendicular. Therefore, the diagonals of a kite are perpendicular to each other. Hence, option B is