Best Answer

A parallelogram is a rhombus if and only if the diagonals are perpendicular

Q: If a parallelogram is a rhombus then its diagonals are?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

diagonals are perpendicular

Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles

Not necessarily. Only if it is a rhombus.

if the diagonals of parallelogram become Perpendicular then the figure is said to be rhombus......

Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.

Related questions

They become the diagonals of a parallelogram.

rhombus

A rhombus

Yes, if the parallelogram is a rhombus or a square.

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

The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.

diagonals are perpendicular

Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles

Not necessarily. Only if it is a rhombus.

Yes because a rhombus is like a parallelogram

if the diagonals of parallelogram become Perpendicular then the figure is said to be rhombus......

Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.