Best Answer

No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.

More answers

No.

Q: The diagonals of a parallelogram are congruent?

Write your answer...

Submit

Still have questions?

Continue Learning about Movies & Television

yes. they are not congruent

square and rectangle

False

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.

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.

Related questions

No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.

The diagonals are not congruent unless the parallelogram happens to be a rectangle.

If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths.

No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.

yes. they are not congruent

No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).

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.

true.

yes

If the diagonals are cong. then the figure is a rectangle.

The diagonals of a parallelogram are congruent (equal in length) and bisect each other.

Sometimes as when the parallelogram is in the form of a rectangle then its diagonals are of equal lengths.