# Why are the diagonals of a parallelogram not perpendicular?

## Why are the diagonals of a parallelogram not perpendicular?

No it is not a rhombus because diagonals of rhombus are always perpendicular to each other that is they intersect at right angles.

## Do the diagonals of a parallelogram perpendicular bisect each other?

That is, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Theorem: The diagonals of a parallelogram bisect each other.

**Is it true that if the diagonals of a parallelogram are perpendicular then the parallelogram is a rectangle?**

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.

### Which special parallelogram has diagonals that are not perpendicular?

Rectangle

Rectangle is the quadrilateral, which has diagonals that are congruent and bisect but are not perpendicular.

### What shapes have perpendicular diagonals?

A rhombus is a parallelogram with four equal sides. The diagonals of a rhombus bisect each other and are perpendicular. A rectangle is a parallelogram with four 90° angles. The rectangle of a rhombus bisect each other and have equal length.

**What shapes are parallelograms?**

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles “a” and “b” add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

## Is a parallelogram always quadrilateral?

A quadrilateral is any geometrical shape that is comprised of four sides and four corners. Parallelograms are all quadrilaterals, but not all quadrilaterals are parallelograms. A parallelogram always has opposite sides that are of equal length and are in fact parallel to each other.

## Which quadrilaterals always have perpendicular diagonals?

The diagonals of a quadrilateral just intersect in the case of a convex quadrilateral. The diagonals of a rectangle bisect each other. The diagonals are always equal. The diagonals of a rhombus bisect each other at 90°. Hence The diagonals of a Rhombus are always perpendicular.