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Q: What quadrilateral has perpendicular diagonals that have 2 pairs of equal sides?

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A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles.

Square (also rhombus)

A rectangle has 2 pairs of parallel sides and its diagonals are of equal length but do not cross each other at 90 degrees

From Wikipedia: '...a kite, or deltoid, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.' In other words, a kite consists of two isosceles triangles joined at the base. Beginning with a particular isosceles triangle, it will always be possible to construct from it one kite that has equal diagonals (given that the kite may be either convex or concave). Hence an infinite number of kites do have equal diagonals, but many do not. A notable example of a kite that does have equal diagonals is a square.

A square. -Michelle

Related questions

It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular

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.

A square and a rhombus

Kite is a geometry term for a quadrilateral shape. The shape has two pairs of adjacent sides that are congruent. The diagonals are perpendicular.

A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles.

Square (also rhombus)

A square or other rhombus (= parallelogram with 4 equal sides, whether or not they're at right angles).Also, any other regular 4n-gon -- i.e., regular polygon whose number of sides is a multiple of 4 -- will have pairs of perpendicular diagonals. So a regular octagon has two such pairs.

A square or other rhombus (= parallelogram with 4 equal sides, whether or not they're at right angles).Also, any other regular 4n-gon -- i.e., regular polygon whose number of sides is a multiple of 4 -- will have pairs of perpendicular diagonals. So a regular octagon has two such pairs.

a square

rectangle

A parallelogram is a simple quadrilateral with two pairs of parallel sides. A square is a parallelogram with four sides of equal length and angles of equal size (right angles).

It is a quadrilateral shape because it has 4 sides and it has 2 pairs of adjacent sides that are equal with 1 pair of opposite angles being equal and its diagonale are perpendicular.

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