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The diagonals of a parallelogram are congruent?
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
A parallelogram with congruent diagonals is a?
square and rectangle
If the diagonals of a parallelogram are congruent the parallelogram may or may not be a rectangle?
False
Show that if diagonals of a quadrilateral bisects each other then it is a rhombus?
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.
In a parallelogram are the diagonals equal?
No, the properties of a paralleogram are as follows:two parallel sidesbisecting diagonalsequal opposite anglesand it does not need to have all equal sides it just needs to have OPPOSITE equal sidesIf the diagonals were equal, the figure would have to be a square, rectangle, or rhombus.No. In fact they are equal only in exceptional circumstances.
The diagonals of a parallelogram are congruent?
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
Should the diagonals of a parallelogram always be congruent?
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
In any parallelogram are the diagonals congruent?
The diagonals are not congruent unless the parallelogram happens to be a rectangle.
In which parallelogram are the diagonals congruent?
If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths.
Are the diagonals congruent if a rhombus is a parallelogram?
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
Can a quadrilateral be a parallelogram is the diagonals are congruent but the quadrilateral has no right angles?
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
The diagonals are congruent but the quadrilateral has no right angles is it a parallelogram?
It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle?
true.
A parallelogram has congruent diagonals?
yes
What are Parallelogram Are The Diagonals Congruent?
If the diagonals are cong. then the figure is a rectangle.
The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
Is diagonals of a parallelogram are alwayssometimesnever congruent?
Sometimes as when the parallelogram is in the form of a rectangle then its diagonals are of equal lengths.
