Not in general. The diagonals of a rectangle are equal length. A rhombus that is also a rectangle would be a square.
The diagonals are equal in length and cut each other at right angle.
rhombus
The diagonals of any rhombus bisect each other. A square is a special kind of a rhombus.
non square rhombus
They bisect each other at an angle of 90 degrees
This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus.However, if the diagonals are perpendicular bisectors, then we have a rhombus.Consider quadrilateral ABCD, with diagonals intersecting at X, whereAC and BD are perpendicular;AX=XC;BX=XD.Then angles AXB, BXC, CXD, DXA are all right angles and are congruent.By the ASA theorem, triangles AXB, BXC, CXD and DXA are all congruent.This means that AB=BC=CD=DA.Since the sides of the quadrilateral ABCD are congruent, it is a rhombus.
Yes, the diagonals of a rhombus are perpendicular.
No. The diagonals of rhombus are not equal.
No. The diagonals of rhombus are not equal.
Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.
No. The diagonals of rhombus are not equal.
No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.
A parallelogram is a rhombus if and only if the diagonals are perpendicular
noNo, the diagonals of a rhombus are perpendicular to each other.Unless the rhombus is regular (and called a square) the diagonals are of different lengths.
The diagonals of a rhombus bisect one another.
They are diagonals. In a rhombus, diagonals join opposite vertices.
The diagonals of a rhombus cannot be the same size.
The diagonals of a rhombus are perpendicular