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.