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Which quadrilaterals have perpendicular bisecting diagonals?

All quadrilaterals have intersecting diagonals.Some symmetric quadrilaterals have perpendicularly bisecting diagonals.Equilateral parallelogramsof which the square is a special case...and the kite where two pairs of adjacent sides are the same length has one diagonal perpendicularly bisected by the other


Which is the best classification for a parallelogram with perpendicular diagonals?

It is a rhombus. All four sides have the same length and the diagonals are therefore perpendicular.


Are the diagonals of a rhombus perpendicular and bisect each other?

Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.


Is parallelogram a perpendicular sides?

No, a parallelogram does not have perpendicular sides by definition. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Perpendicular sides would form a right angle, which is a characteristic of rectangles, squares, and other types of quadrilaterals, but not parallelograms.


Which quadrilaterals are opposite angles always congruent?

(1) Parallelogram A parallelogram is a quadrilateral with two sets of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are equal.(2) SquareA square is a regular quadrilateral. This means that is has four equal sides and four equal angles.(3) RhombusA rhombus is a quadrilateral whose four sides all have the same length. Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular.(4) RectangleA rectangle normally refers to a quadrilateral with four right angles.ParallelogramSquareRhombus

Related Questions

What quadrilateral has the diagonals of a perpendicular bisectors of equal length?

A square.


What kind of quadrilateral do you get from diagonals that are not equal in length bisect each other and are not perpendicular?

A parallelogram.


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).


How many diagoanals does a Quadrilateral have?

A Quadrilateral has two diagonals. IF the quadrilateral is a rectangle, then the two diagonals are equal in length.


In which quadrilateral are the diagonals always congruent?

The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.


What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?

It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees The diagonals of a rhombus are not equal in length but they meet at right angles.


Which quadrilaterals have diagonals that are not equal in length?

All but the square and rectangle.


Which quadrilaterals have perpendicular bisecting diagonals?

All quadrilaterals have intersecting diagonals.Some symmetric quadrilaterals have perpendicularly bisecting diagonals.Equilateral parallelogramsof which the square is a special case...and the kite where two pairs of adjacent sides are the same length has one diagonal perpendicularly bisected by the other


Is a triangle a kite?

No. A kite is a quadrilateral (4 sided figure) with two pairs of adjacent sides of equal length; its diagonals are perpendicular. A triangle has 3 sides.


What are two fatures of a rhombus?

Two features of a rhombus are it is a quadrilateral shape because it has 4 sides which are equal in length and it has no corner right angles but its diagonals are perpendicular.


Which quadrilaterals must have diagonals of equal length?

Rectangle and Isosceles Trapezoid


What quadrilaterals must have diagonals of equal length?

Isosceles trapezoid and rectangle