Q: Which quadrilateral has two pairs of adjacent edges of the same length and its diagonals cross each other at right angles?

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A rhombus is a simple quadrilateral with all its sides of equal length. As a result,its opposite sides are parallel,its opposite angles are equal,its adjacent angles are supplementary, andits diagonals bisect each other at right angles.

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.

No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.Only in rectangles are diagonals "always" of equal length.

A rhombus or a square. In rectangles (unequal side length) this does not occur.

If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.

Related questions

It is an isosceles trapezoid.

An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.

A rhombus is a simple quadrilateral with all its sides of equal length. As a result,its opposite sides are parallel,its opposite angles are equal,its adjacent angles are supplementary, andits diagonals bisect each other at right angles.

A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.

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.

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

No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.Only in rectangles are diagonals "always" of equal length.

A rhombus or a square. In rectangles (unequal side length) this does not occur.

If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.

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.

rhombus

A square.