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They are squares and rhombuses

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Q: What quadrilaterals have parallel sides and perpendicular diagonals?
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What quadrilaterals sides that are parallel to its opposite side and diagonals that are not perpendicular?

A parallelogram.


Does a rhombus have parellel and perpendicular lines?

Yes its sides are parallel and its diagonals are perpendicular


Can you answer which quadrilaterals have their diagonals perpendicular?

The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).


What is the characteristics of a rhombus?

-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular


Does a trapezoid have the property that diagonals are perpendicular?

No, they do not have that property. The quadrilaterals that have that property are the rhombus (and subsequently, the square) and the kite. The only property I'm aware of diagonals of a trapezoid having is the fact that they cut each other in the same ratio, which happens to be the ratio between the lengths of the parallel sides.

Related questions

What quadrilaterals sides that are parallel to its opposite side and diagonals that are not perpendicular?

A parallelogram.


Does a rhombus have parellel and perpendicular lines?

Yes its sides are parallel and its diagonals are perpendicular


A quadrilateral has one pair of equal length sides and diagonals which are not perpendicular. Name the quadrilateral or quadrilaterals.?

trapezium


Can you answer which quadrilaterals have their diagonals perpendicular?

The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).


Which quadrilaterals have one set of parallel sides and congruent diagonals?

It is an isosceles trapezoid that fits the given description.


What is the characteristics of a rhombus?

-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular


Does a trapezoid have the property that diagonals are perpendicular?

No, they do not have that property. The quadrilaterals that have that property are the rhombus (and subsequently, the square) and the kite. The only property I'm aware of diagonals of a trapezoid having is the fact that they cut each other in the same ratio, which happens to be the ratio between the lengths of the parallel sides.


Does a kite have perpendicular sides?

No but its diagonals are perpendicular


Does a pentogon have parallel and perpendicular diagonals?

It can if it's irregular. But if it is a regular pentagon (all sides and angles equal) then no, neither.


Does a rhombus have parallel and perpendicular sides?

It has parallel sides, but not perpendicular.


Are diagonals of equal length in a parallelogram and rectangle?

the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.


How many diagonals do quadrilaterals have?

Quadrilaterals have four sides so the only possible answer to this question is that a quadrilateral only has two diagonals.